93379728 has 80 divisors (see below), whose sum is σ = 261233280. Its totient is φ = 28572672.

The previous prime is 93379723. The next prime is 93379729. The reversal of 93379728 is 82797339.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93379721) 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 15 ways as a sum of consecutive naturals, for example, 163828 + ... + 164396.

It is an arithmetic number, because the mean of its divisors is an integer number (3265416).

Almost surely, 2^93379728 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 93379728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130616640).

93379728 is an abundant number, since it is smaller than the sum of its proper divisors (167853552).

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

93379728 is a wasteful number, since it uses less digits than its factorization.

93379728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 850 counting only the distinct ones).

The product of its digits is 571536, while the sum is 48.

The square root of 93379728 is about 9663.3186845928. The cubic root of 93379728 is about 453.6812889908.

The spelling of 93379728 in words is "ninety-three million, three hundred seventy-nine thousand, seven hundred twenty-eight".