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28776096 = 2532412437
BaseRepresentation
bin110110111000…
…1011010100000
32000010222101100
41231301122200
524331313341
62504434400
7466410216
oct155613240
960128340
1028776096
11152749a8
129778a00
135c66b9b
143b70cb6
1527d63b6
hex1b716a0

28776096 has 72 divisors (see below), whose sum is σ = 83862324. Its totient is φ = 9354240.

The previous prime is 28776043. The next prime is 28776101. The reversal of 28776096 is 69067782.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28772496 + 3600 = 5364^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10590 + ... + 13026.

Almost surely, 228776096 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 28776096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41931162).

28776096 is an abundant number, since it is smaller than the sum of its proper divisors (55086228).

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

28776096 is a wasteful number, since it uses less digits than its factorization.

28776096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 28776096 is about 5364.3355599739. The cubic root of 28776096 is about 306.4389445734.

The spelling of 28776096 in words is "twenty-eight million, seven hundred seventy-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2437 2952 3936 4874 5904 7311 9748 11808 14622 19496 21933 29244 38992 43866 58488 77984 87732 99917 116976 175464 199834 233952 299751 350928 399668 599502 701856 799336 899253 1199004 1598672 1798506 2398008 3197344 3597012 4796016 7194024 9592032 14388048 28776096