28859360400 has 840 divisors, whose sum is σ = 117171208896. Its totient is φ = 6774451200.

The previous prime is 28859360389. The next prime is 28859360419. The reversal of 28859360400 is 406395882.

28859360400 is a `hidden beast` number, since 28 + 85 + 93 + 60 + 400 = 666.

It is a super-3 number, since 3×28859360400³ (a number of 32 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 87188235 + ... + 87188565.

Almost surely, 2^28859360400 is an apocalyptic number.

28859360400 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 28859360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58585604448).

28859360400 is an abundant number, since it is smaller than the sum of its proper divisors (88311848496).

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

28859360400 is a wasteful number, since it uses less digits than its factorization.

28859360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 28859360400 in words is "twenty-eight billion, eight hundred fifty-nine million, three hundred sixty thousand, four hundred".