28187913600 has 1536 divisors, whose sum is σ = 135991296000. Its totient is φ = 5524070400.

The previous prime is 28187913599. The next prime is 28187913613. The reversal of 28187913600 is 631978182.

28187913600 is a `hidden beast` number, since 28 + 1 + 8 + 7 + 9 + 13 + 600 = 666.

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 191 ways as a sum of consecutive naturals, for example, 126403089 + ... + 126403311.

It is an arithmetic number, because the mean of its divisors is an integer number (88536000).

Almost surely, 2^28187913600 is an apocalyptic number.

28187913600 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 28187913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67995648000).

28187913600 is an abundant number, since it is smaller than the sum of its proper divisors (107803382400).

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

28187913600 is a wasteful number, since it uses less digits than its factorization.

28187913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 28187913600 in words is "twenty-eight billion, one hundred eighty-seven million, nine hundred thirteen thousand, six hundred".