392728896 has 168 divisors, whose sum is σ = 1294912320. Its totient is φ = 111476736.

The previous prime is 392728867. The next prime is 392728909. The reversal of 392728896 is 698827293.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2612736) is a multiple of the sum of its prime divisors (648).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1036035 + ... + 1036413.

Almost surely, 2^392728896 is an apocalyptic number.

392728896 is a gapful number since it is divisible by the number (36) 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 392728896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647456160).

392728896 is an abundant number, since it is smaller than the sum of its proper divisors (902183424).

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

392728896 is a wasteful number, since it uses less digits than its factorization.

392728896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 648 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 392728896 is about 19817.3887280842. The cubic root of 392728896 is about 732.3144756460.

It can be divided in two parts, 3927 and 28896, that added together give a palindrome (32823).

The spelling of 392728896 in words is "three hundred ninety-two million, seven hundred twenty-eight thousand, eight hundred ninety-six".