93056128 has 128 divisors (see below), whose sum is σ = 218116800. Its totient is φ = 39137280.

The previous prime is 93056123. The next prime is 93056149. The reversal of 93056128 is 82165039.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 93056093 and 93056102.

It is not an unprimeable number, because it can be changed into a prime (93056123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1755750 + ... + 1755802.

Almost surely, 2^93056128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93056128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109058400).

93056128 is an abundant number, since it is smaller than the sum of its proper divisors (125060672).

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

93056128 is a wasteful number, since it uses less digits than its factorization.

93056128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 93056128 is about 9646.5604232804. The cubic root of 93056128 is about 453.1566170122.

The spelling of 93056128 in words is "ninety-three million, fifty-six thousand, one hundred twenty-eight".