742685328 has 320 divisors, whose sum is σ = 2699827200. Its totient is φ = 189872640.

The previous prime is 742685327. The next prime is 742685371. The reversal of 742685328 is 823586247.

It is not an unprimeable number, because it can be changed into a prime (742685327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2760778 + ... + 2761046.

It is an arithmetic number, because the mean of its divisors is an integer number (8436960).

Almost surely, 2^742685328 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 742685328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349913600).

742685328 is an abundant number, since it is smaller than the sum of its proper divisors (1957141872).

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

742685328 is a wasteful number, since it uses less digits than its factorization.

742685328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 375 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 742685328 is about 27252.2536315806. The cubic root of 742685328 is about 905.5969436503.

The spelling of 742685328 in words is "seven hundred forty-two million, six hundred eighty-five thousand, three hundred twenty-eight".