28287532800 has 864 divisors, whose sum is σ = 109736309760. Its totient is φ = 7211151360.

The previous prime is 28287532799. The next prime is 28287532811. The reversal of 28287532800 is 823578282.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×28287532800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 601862377 + ... + 601862423.

Almost surely, 2^28287532800 is an apocalyptic number.

28287532800 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 28287532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54868154880).

28287532800 is an abundant number, since it is smaller than the sum of its proper divisors (81448776960).

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

28287532800 is an frugal number, since it uses more digits than its factorization.

28287532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 28287532800 in words is "twenty-eight billion, two hundred eighty-seven million, five hundred thirty-two thousand, eight hundred".