28826962560 has 768 divisors, whose sum is σ = 118968393600. Its totient is φ = 6569164800.

The previous prime is 28826962559. The next prime is 28826962601. The reversal of 28826962560 is 6526962882.

28826962560 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 6 + 9 + 625 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28826962497 and 28826962506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35544555 + ... + 35545365.

Almost surely, 2^28826962560 is an apocalyptic number.

28826962560 is a gapful number since it is divisible by the number (20) 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 28826962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59484196800).

28826962560 is an abundant number, since it is smaller than the sum of its proper divisors (90141431040).

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

28826962560 is a wasteful number, since it uses less digits than its factorization.

28826962560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 28826962560 in words is "twenty-eight billion, eight hundred twenty-six million, nine hundred sixty-two thousand, five hundred sixty".