393113088 has 100 divisors (see below), whose sum is σ = 1173462840. Its totient is φ = 131023872.

The previous prime is 393113081. The next prime is 393113093. The reversal of 393113088 is 880311393.

393113088 is a `hidden beast` number, since 39 + 311 + 308 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393113081) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 36733 + ... + 46211.

Almost surely, 2^393113088 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 393113088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586731420).

393113088 is an abundant number, since it is smaller than the sum of its proper divisors (780349752).

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

393113088 is an frugal number, since it uses more digits than its factorization.

393113088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9509 (or 9484 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 393113088 is about 19827.0796639344. The cubic root of 393113088 is about 732.5531964457.

The spelling of 393113088 in words is "three hundred ninety-three million, one hundred thirteen thousand, eighty-eight".