28602856800 has 432 divisors, whose sum is σ = 118994383872. Its totient is φ = 6326553600.

The previous prime is 28602856753. The next prime is 28602856801. The reversal of 28602856800 is 865820682.

28602856800 is a `hidden beast` number, since 2 + 8 + 60 + 28 + 568 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28602856801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1553247 + ... + 1571553.

Almost surely, 2^28602856800 is an apocalyptic number.

28602856800 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 28602856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59497191936).

28602856800 is an abundant number, since it is smaller than the sum of its proper divisors (90391527072).

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

28602856800 is a wasteful number, since it uses less digits than its factorization.

28602856800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18371 (or 18355 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 28602856800 in words is "twenty-eight billion, six hundred two million, eight hundred fifty-six thousand, eight hundred".