28627441920 has 864 divisors, whose sum is σ = 125810979840. Its totient is φ = 5837045760.

The previous prime is 28627441903. The next prime is 28627441961. The reversal of 28627441920 is 2914472682.

28627441920 is a `hidden beast` number, since 2 + 8 + 627 + 4 + 4 + 19 + 2 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 52335087 + ... + 52335633.

It is an arithmetic number, because the mean of its divisors is an integer number (145614560).

Almost surely, 2^28627441920 is an apocalyptic number.

28627441920 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 28627441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62905489920).

28627441920 is an abundant number, since it is smaller than the sum of its proper divisors (97183537920).

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

28627441920 is a wasteful number, since it uses less digits than its factorization.

28627441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 28627441920 in words is "twenty-eight billion, six hundred twenty-seven million, four hundred forty-one thousand, nine hundred twenty".