392672288 has 54 divisors (see below), whose sum is σ = 805947597. Its totient is φ = 188321280.

The previous prime is 392672281. The next prime is 392672309. The reversal of 392672288 is 882276293.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 247999504 + 144672784 = 15748^2 + 12028^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14012.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (392672281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3474920 + ... + 3475032.

Almost surely, 2^392672288 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 392672288

392672288 is an abundant number, since it is smaller than the sum of its proper divisors (413275309).

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

392672288 is an equidigital number, since it uses as much as digits as its factorization.

392672288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 146 counting only the distinct ones).

The product of its digits is 580608, while the sum is 47.

The square root of 392672288 is about 19815.9604359718. The cubic root of 392672288 is about 732.2792886504.

The spelling of 392672288 in words is "three hundred ninety-two million, six hundred seventy-two thousand, two hundred eighty-eight".