738928960 has 112 divisors (see below), whose sum is σ = 2193828480. Its totient is φ = 230307840.

The previous prime is 738928951. The next prime is 738928973. The reversal of 738928960 is 69829837.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 738928898 and 738928907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9646 + ... + 39634.

Almost surely, 2^738928960 is an apocalyptic number.

738928960 is a gapful number since it is divisible by the number (70) 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 738928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096914240).

738928960 is an abundant number, since it is smaller than the sum of its proper divisors (1454899520).

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

738928960 is a wasteful number, since it uses less digits than its factorization.

738928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30024 (or 30014 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The square root of 738928960 is about 27183.2477824119. The cubic root of 738928960 is about 904.0675805065.

The spelling of 738928960 in words is "seven hundred thirty-eight million, nine hundred twenty-eight thousand, nine hundred sixty".