28765857120 has 1536 divisors, whose sum is σ = 134608158720. Its totient is φ = 4963368960.

The previous prime is 28765857083. The next prime is 28765857157. The reversal of 28765857120 is 2175856782.

It is an interprime number because it is at equal distance from previous prime (28765857083) and next prime (28765857157).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 209969692 + ... + 209969828.

It is an arithmetic number, because the mean of its divisors is an integer number (87635520).

Almost surely, 2^28765857120 is an apocalyptic number.

28765857120 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 28765857120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67304079360).

28765857120 is an abundant number, since it is smaller than the sum of its proper divisors (105842301600).

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

28765857120 is a wasteful number, since it uses less digits than its factorization.

28765857120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 51.

The spelling of 28765857120 in words is "twenty-eight billion, seven hundred sixty-five million, eight hundred fifty-seven thousand, one hundred twenty".