Search a number
-
+
28894944 = 253133137
BaseRepresentation
bin110111000111…
…0011011100000
32000101000102010
41232032123200
524344114234
62511152520
7500413551
oct156163340
960330363
1028894944
1115346221
129815740
135ca9000
143ba2328
15280b6e9
hex1b8e6e0

28894944 has 96 divisors (see below), whose sum is σ = 82766880. Its totient is φ = 8825856.

The previous prime is 28894939. The next prime is 28894967. The reversal of 28894944 is 44949882.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 28894893 and 28894902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210844 + ... + 210980.

It is an arithmetic number, because the mean of its divisors is an integer number (862155).

Almost surely, 228894944 is an apocalyptic number.

28894944 is a gapful number since it is divisible by the number (24) 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 28894944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41383440).

28894944 is an abundant number, since it is smaller than the sum of its proper divisors (53871936).

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

28894944 is a wasteful number, since it uses less digits than its factorization.

28894944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 155 counting only the distinct ones).

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

The square root of 28894944 is about 5375.4017524274. The cubic root of 28894944 is about 306.8602390573.

The spelling of 28894944 in words is "twenty-eight million, eight hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 137 156 169 208 274 312 338 411 416 507 548 624 676 822 1014 1096 1248 1352 1644 1781 2028 2192 2197 2704 3288 3562 4056 4384 4394 5343 5408 6576 6591 7124 8112 8788 10686 13152 13182 14248 16224 17576 21372 23153 26364 28496 35152 42744 46306 52728 56992 69459 70304 85488 92612 105456 138918 170976 185224 210912 277836 300989 370448 555672 601978 740896 902967 1111344 1203956 1805934 2222688 2407912 3611868 4815824 7223736 9631648 14447472 28894944