707113728 has 216 divisors, whose sum is σ = 2224076400. Its totient is φ = 215212032.

The previous prime is 707113727. The next prime is 707113741. The reversal of 707113728 is 827311707.

It is a happy number.

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 = 707113692 and 707113701.

It is not an unprimeable number, because it can be changed into a prime (707113727) by changing a digit.

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, 1269226 + ... + 1269782.

It is an arithmetic number, because the mean of its divisors is an integer number (10296650).

Almost surely, 2^707113728 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 707113728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112038200).

707113728 is an abundant number, since it is smaller than the sum of its proper divisors (1516962672).

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

707113728 is a wasteful number, since it uses less digits than its factorization.

707113728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 707113728 is about 26591.6101054449. The cubic root of 707113728 is about 890.9016356096.

The spelling of 707113728 in words is "seven hundred seven million, one hundred thirteen thousand, seven hundred twenty-eight".