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28394688 = 263737571
BaseRepresentation
bin110110001010…
…0010011000000
31222102121012010
41230110103000
524232112223
62452332520
7463231230
oct154242300
958377163
1028394688
1115034393
129614140
135b623ba
143ab1cc0
15275d393
hex1b144c0

28394688 has 112 divisors (see below), whose sum is σ = 88335104. Its totient is φ = 7879680.

The previous prime is 28394687. The next prime is 28394689. The reversal of 28394688 is 88649382.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28394687) and next prime (28394689).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28394687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49443 + ... + 50013.

Almost surely, 228394688 is an apocalyptic number.

28394688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28394688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44167552).

28394688 is an abundant number, since it is smaller than the sum of its proper divisors (59940416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28394688 is a wasteful number, since it uses less digits than its factorization.

28394688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 620 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 28394688 is about 5328.6666249635. Note that the first 4 decimals coincide. The cubic root of 28394688 is about 305.0790371177.

It can be divided in two parts, 28 and 394688, that added together give a triangular number (394716 = T888).

The spelling of 28394688 in words is "twenty-eight million, three hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 222 224 259 296 336 444 448 518 571 592 672 777 888 1036 1142 1184 1344 1554 1713 1776 2072 2284 2368 3108 3426 3552 3997 4144 4568 6216 6852 7104 7994 8288 9136 11991 12432 13704 15988 16576 18272 21127 23982 24864 27408 31976 36544 42254 47964 49728 54816 63381 63952 84508 95928 109632 126762 127904 147889 169016 191856 253524 255808 295778 338032 383712 443667 507048 591556 676064 767424 887334 1014096 1183112 1352128 1774668 2028192 2366224 3549336 4056384 4732448 7098672 9464896 14197344 28394688