93628080 has 240 divisors, whose sum is σ = 387266880. Its totient is φ = 19740672.

The previous prime is 93628069. The next prime is 93628097. The reversal of 93628080 is 8082639.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64806 + ... + 66234.

It is an arithmetic number, because the mean of its divisors is an integer number (1613612).

Almost surely, 2^93628080 is an apocalyptic number.

93628080 is a gapful number since it is divisible by the number (90) 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 93628080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193633440).

93628080 is an abundant number, since it is smaller than the sum of its proper divisors (293638800).

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

93628080 is a wasteful number, since it uses less digits than its factorization.

93628080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 93628080 is about 9676.1603955288. The cubic root of 93628080 is about 454.0831353639.

The spelling of 93628080 in words is "ninety-three million, six hundred twenty-eight thousand, eighty".