735680928 has 24 divisors (see below), whose sum is σ = 1931162688. Its totient is φ = 245226944.

The previous prime is 735680927. The next prime is 735680929. The reversal of 735680928 is 829086537.

735680928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (735680927) and next prime (735680929).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (735680927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3831576 + ... + 3831767.

It is an arithmetic number, because the mean of its divisors is an integer number (80465112).

Almost surely, 2^735680928 is an apocalyptic number.

It is an amenable number.

735680928 is an abundant number, since it is smaller than the sum of its proper divisors (1195481760).

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

735680928 is a wasteful number, since it uses less digits than its factorization.

735680928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7663356 (or 7663348 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 735680928 is about 27123.4387200443. The cubic root of 735680928 is about 902.7409967638.

The spelling of 735680928 in words is "seven hundred thirty-five million, six hundred eighty thousand, nine hundred twenty-eight".