28642723200 has 768 divisors, whose sum is σ = 129050073600. Its totient is φ = 6041640960.

The previous prime is 28642723189. The next prime is 28642723247. The reversal of 28642723200 is 232724682.

It is a happy number.

28642723200 is a `hidden beast` number, since 2 + 8 + 6 + 427 + 23 + 200 = 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 95 ways as a sum of consecutive naturals, for example, 7860579 + ... + 7864221.

It is an arithmetic number, because the mean of its divisors is an integer number (168033950).

Almost surely, 2^28642723200 is an apocalyptic number.

28642723200 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 28642723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64525036800).

28642723200 is an abundant number, since it is smaller than the sum of its proper divisors (100407350400).

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

28642723200 is a wasteful number, since it uses less digits than its factorization.

28642723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 28642723200 in words is "twenty-eight billion, six hundred forty-two million, seven hundred twenty-three thousand, two hundred".