93728000 has 144 divisors (see below), whose sum is σ = 243930960. Its totient is φ = 35840000.

The previous prime is 93727981. The next prime is 93728017. The reversal of 93728000 is 82739.

It can be written as a sum of positive squares in 8 ways, for example, as 8202496 + 85525504 = 2864^2 + 9248^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927950 + ... + 928050.

It is an arithmetic number, because the mean of its divisors is an integer number (1693965).

Almost surely, 2^93728000 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 93728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121965480).

93728000 is an abundant number, since it is smaller than the sum of its proper divisors (150202960).

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

93728000 is a wasteful number, since it uses less digits than its factorization.

93728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 93728000 is about 9681.3222237461. The cubic root of 93728000 is about 454.2446106254.

The spelling of 93728000 in words is "ninety-three million, seven hundred twenty-eight thousand".