28700904960 has 1120 divisors, whose sum is σ = 127736199360. Its totient is φ = 6055575552.

The previous prime is 28700904943. The next prime is 28700904983. The reversal of 28700904960 is 6940900782.

It is a happy number.

28700904960 is a `hidden beast` number, since 2 + 8 + 70 + 0 + 90 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 111 ways as a sum of consecutive naturals, for example, 2207761914 + ... + 2207761926.

It is an arithmetic number, because the mean of its divisors is an integer number (114050178).

Almost surely, 2^28700904960 is an apocalyptic number.

28700904960 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 28700904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63868099680).

28700904960 is an abundant number, since it is smaller than the sum of its proper divisors (99035294400).

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

28700904960 is an frugal number, since it uses more digits than its factorization.

28700904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 28700904960 in words is "twenty-eight billion, seven hundred million, nine hundred four thousand, nine hundred sixty".