391728960 has 560 divisors, whose sum is σ = 1699467264. Its totient is φ = 83607552.

The previous prime is 391728949. The next prime is 391728979. The reversal of 391728960 is 69827193.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3084417 + ... + 3084543.

Almost surely, 2^391728960 is an apocalyptic number.

391728960 is a gapful number since it is divisible by the number (30) 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 391728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849733632).

391728960 is an abundant number, since it is smaller than the sum of its proper divisors (1307738304).

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

391728960 is a wasteful number, since it uses less digits than its factorization.

391728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 391728960 is about 19792.1438960008. The cubic root of 391728960 is about 731.6924265458.

The spelling of 391728960 in words is "three hundred ninety-one million, seven hundred twenty-eight thousand, nine hundred sixty".