28360238400 has 1008 divisors, whose sum is σ = 116846632448. Its totient is φ = 6718464000.

The previous prime is 28360238381. The next prime is 28360238449. The reversal of 28360238400 is 483206382.

28360238400 is a `hidden beast` number, since 2 + 8 + 3 + 602 + 3 + 8 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 156686310 + ... + 156686490.

Almost surely, 2^28360238400 is an apocalyptic number.

28360238400 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 28360238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58423316224).

28360238400 is an abundant number, since it is smaller than the sum of its proper divisors (88486394048).

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

28360238400 is a wasteful number, since it uses less digits than its factorization.

28360238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 28360238400 in words is "twenty-eight billion, three hundred sixty million, two hundred thirty-eight thousand, four hundred".