743660928 has 192 divisors, whose sum is σ = 2237227200. Its totient is φ = 236888064.

The previous prime is 743660923. The next prime is 743660941. The reversal of 743660928 is 829066347.

743660928 is a `hidden beast` number, since 7 + 4 + 36 + 609 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (743660923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3111433 + ... + 3111671.

It is an arithmetic number, because the mean of its divisors is an integer number (11652225).

Almost surely, 2^743660928 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 743660928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118613600).

743660928 is an abundant number, since it is smaller than the sum of its proper divisors (1493566272).

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

743660928 is a wasteful number, since it uses less digits than its factorization.

743660928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 743660928 is about 27270.1471943222. The cubic root of 743660928 is about 905.9933043378.

The spelling of 743660928 in words is "seven hundred forty-three million, six hundred sixty thousand, nine hundred twenty-eight".