2528807288832 has 1020 divisors, whose sum is σ = 8639797669888. Its totient is φ = 735746457600.

The previous prime is 2528807288807. The next prime is 2528807288879. The reversal of 2528807288832 is 2388827088252.

2528807288832 is a `hidden beast` number, since 2 + 528 + 8 + 0 + 7 + 28 + 8 + 83 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2528807288832.

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 59 ways as a sum of consecutive naturals, for example, 19911868353 + ... + 19911868479.

Almost surely, 2^{2528807288832} is an apocalyptic number.

2528807288832 is a gapful number since it is divisible by the number (22) 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 2528807288832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319898834944).

2528807288832 is an abundant number, since it is smaller than the sum of its proper divisors (6110990381056).

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

2528807288832 is an equidigital number, since it uses as much as digits as its factorization.

2528807288832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 63.

The spelling of 2528807288832 in words is "two trillion, five hundred twenty-eight billion, eight hundred seven million, two hundred eighty-eight thousand, eight hundred thirty-two".