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28819648 = 2611134767
BaseRepresentation
bin110110111110…
…0000011000000
32000020012010101
41231330003000
524334212043
62505412144
7466651204
oct155740300
960205111
1028819648
11152a46a0
12979a054
135c80960
143b82b04
1527e424d
hex1b7c0c0

28819648 has 112 divisors (see below), whose sum is σ = 69640704. Its totient is φ = 11658240.

The previous prime is 28819639. The next prime is 28819657. The reversal of 28819648 is 84691882.

It is an interprime number because it is at equal distance from previous prime (28819639) and next prime (28819657).

It is a super-2 number, since 2×288196482 = 1661144221687808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28819598 and 28819607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430111 + ... + 430177.

It is an arithmetic number, because the mean of its divisors is an integer number (621792).

Almost surely, 228819648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28819648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34820352).

28819648 is an abundant number, since it is smaller than the sum of its proper divisors (40821056).

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

28819648 is a wasteful number, since it uses less digits than its factorization.

28819648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its digits is 221184, while the sum is 46.

The square root of 28819648 is about 5368.3934282055. The cubic root of 28819648 is about 306.5934628883.

The spelling of 28819648 in words is "twenty-eight million, eight hundred nineteen thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 47 52 64 67 88 94 104 134 143 176 188 208 268 286 352 376 416 517 536 572 611 704 737 752 832 871 1034 1072 1144 1222 1474 1504 1742 2068 2144 2288 2444 2948 3008 3149 3484 4136 4288 4576 4888 5896 6298 6721 6968 8272 9152 9581 9776 11792 12596 13442 13936 16544 19162 19552 23584 25192 26884 27872 33088 34639 38324 39104 40937 47168 50384 53768 55744 69278 76648 81874 100768 107536 138556 153296 163748 201536 215072 277112 306592 327496 430144 450307 554224 613184 654992 900614 1108448 1309984 1801228 2216896 2619968 3602456 7204912 14409824 28819648