743603328 has 224 divisors, whose sum is σ = 2395834140. Its totient is φ = 228427776.

The previous prime is 743603327. The next prime is 743603381. The reversal of 743603328 is 823306347.

743603328 is a `hidden beast` number, since 7 + 43 + 603 + 3 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 534164544 + 209438784 = 23112^2 + 14472^2 .

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 = 743603292 and 743603301.

It is not an unprimeable number, because it can be changed into a prime (743603321) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1212750 + ... + 1213362.

Almost surely, 2^743603328 is an apocalyptic number.

743603328 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 743603328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197917070).

743603328 is an abundant number, since it is smaller than the sum of its proper divisors (1652230812).

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

743603328 is an equidigital number, since it uses as much as digits as its factorization.

743603328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 743603328 is about 27269.0910739614. The cubic root of 743603328 is about 905.9699126011.

The spelling of 743603328 in words is "seven hundred forty-three million, six hundred three thousand, three hundred twenty-eight".