93130128 has 320 divisors, whose sum is σ = 346644480. Its totient is φ = 23265792.

The previous prime is 93130123. The next prime is 93130129. The reversal of 93130128 is 82103139.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (93130123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 904125 + ... + 904227.

It is an arithmetic number, because the mean of its divisors is an integer number (1083264).

Almost surely, 2^93130128 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 93130128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173322240).

93130128 is an abundant number, since it is smaller than the sum of its proper divisors (253514352).

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

93130128 is a wasteful number, since it uses less digits than its factorization.

93130128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 93130128 is about 9650.3952250672. The cubic root of 93130128 is about 453.2767047681.

The spelling of 93130128 in words is "ninety-three million, one hundred thirty thousand, one hundred twenty-eight".