28760973120 has 504 divisors, whose sum is σ = 110712150432. Its totient is φ = 6796339200.

The previous prime is 28760973107. The next prime is 28760973173. The reversal of 28760973120 is 2137906782.

28760973120 is a `hidden beast` number, since 2 + 8 + 7 + 609 + 7 + 31 + 2 + 0 = 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 71 ways as a sum of consecutive naturals, for example, 58576075 + ... + 58576565.

Almost surely, 2^28760973120 is an apocalyptic number.

28760973120 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 28760973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55356075216).

28760973120 is an abundant number, since it is smaller than the sum of its proper divisors (81951177312).

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

28760973120 is a wasteful number, since it uses less digits than its factorization.

28760973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 28760973120 in words is "twenty-eight billion, seven hundred sixty million, nine hundred seventy-three thousand, one hundred twenty".