28636675200 has 576 divisors, whose sum is σ = 121127872320. Its totient is φ = 6544281600.

The previous prime is 28636675183. The next prime is 28636675247. The reversal of 28636675200 is 257663682.

It is a happy number.

28636675200 is a `hidden beast` number, since 2 + 8 + 63 + 6 + 67 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 5440570 + ... + 5445830.

It is an arithmetic number, because the mean of its divisors is an integer number (210291445).

Almost surely, 2^28636675200 is an apocalyptic number.

28636675200 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 28636675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60563936160).

28636675200 is an abundant number, since it is smaller than the sum of its proper divisors (92491197120).

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

28636675200 is an equidigital number, since it uses as much as digits as its factorization.

28636675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5307 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 28636675200 in words is "twenty-eight billion, six hundred thirty-six million, six hundred seventy-five thousand, two hundred".