716351328 has 144 divisors (see below), whose sum is σ = 2539869696. Its totient is φ = 186059520.

The previous prime is 716351309. The next prime is 716351329. The reversal of 716351328 is 823153617.

716351328 is a `hidden beast` number, since 7 + 1 + 635 + 13 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 716351292 and 716351301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716351329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6025 + ... + 38327.

It is an arithmetic number, because the mean of its divisors is an integer number (17637984).

Almost surely, 2^716351328 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 716351328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269934848).

716351328 is an abundant number, since it is smaller than the sum of its proper divisors (1823518368).

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

716351328 is a wasteful number, since it uses less digits than its factorization.

716351328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32337 (or 32326 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 716351328 is about 26764.7403873081. The cubic root of 716351328 is about 894.7643868623.

The spelling of 716351328 in words is "seven hundred sixteen million, three hundred fifty-one thousand, three hundred twenty-eight".