28525996800 has 810 divisors, whose sum is σ = 122803043748. Its totient is φ = 6514421760.

The previous prime is 28525996757. The next prime is 28525996801. The reversal of 28525996800 is 869952582.

28525996800 is a `hidden beast` number, since 28 + 525 + 9 + 96 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (810).

It is a super-2 number, since 2×28525996800² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (28525996801) by changing a digit.

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 89 ways as a sum of consecutive naturals, for example, 25401039 + ... + 25402161.

Almost surely, 2^28525996800 is an apocalyptic number.

28525996800 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 28525996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61401521874).

28525996800 is an abundant number, since it is smaller than the sum of its proper divisors (94277046948).

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

28525996800 is a wasteful number, since it uses less digits than its factorization.

28525996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 28525996800 in words is "twenty-eight billion, five hundred twenty-five million, nine hundred ninety-six thousand, eight hundred".