743300928 has 112 divisors (see below), whose sum is σ = 2313797760. Its totient is φ = 233183232.

The previous prime is 743300923. The next prime is 743300947. The reversal of 743300928 is 829003347.

743300928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×743300928² = 1104992539131322368, which contains 22 as substring.

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 = 743300892 and 743300901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (743300923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16725 + ... + 42027.

Almost surely, 2^743300928 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 743300928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156898880).

743300928 is an abundant number, since it is smaller than the sum of its proper divisors (1570496832).

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

743300928 is a wasteful number, since it uses less digits than its factorization.

743300928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25341 (or 25325 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 743300928 is about 27263.5457708641. The cubic root of 743300928 is about 905.8470861616.

The spelling of 743300928 in words is "seven hundred forty-three million, three hundred thousand, nine hundred twenty-eight".