28257116160 has 1008 divisors, whose sum is σ = 119545309296. Its totient is φ = 5648154624.

The previous prime is 28257116149. The next prime is 28257116171. The reversal of 28257116160 is 6161175282.

It is an interprime number because it is at equal distance from previous prime (28257116149) and next prime (28257116171).

It is a super-2 number, since 2×28257116160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 1487216631 + ... + 1487216649.

It is an arithmetic number, because the mean of its divisors is an integer number (118596537).

Almost surely, 2^28257116160 is an apocalyptic number.

28257116160 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 28257116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59772654648).

28257116160 is an abundant number, since it is smaller than the sum of its proper divisors (91288193136).

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

28257116160 is a wasteful number, since it uses less digits than its factorization.

28257116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 28257116160 in words is "twenty-eight billion, two hundred fifty-seven million, one hundred sixteen thousand, one hundred sixty".