28867832400 has 960 divisors, whose sum is σ = 113364172800. Its totient is φ = 6200064000.

The previous prime is 28867832341. The next prime is 28867832437. The reversal of 28867832400 is 423876882.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28867832400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 365415561 + ... + 365415639.

It is an arithmetic number, because the mean of its divisors is an integer number (118087680).

Almost surely, 2^28867832400 is an apocalyptic number.

28867832400 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 28867832400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56682086400).

28867832400 is an abundant number, since it is smaller than the sum of its proper divisors (84496340400).

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

28867832400 is a wasteful number, since it uses less digits than its factorization.

28867832400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 28867832400 in words is "twenty-eight billion, eight hundred sixty-seven million, eight hundred thirty-two thousand, four hundred".