974701728 has 768 divisors, whose sum is σ = 4064256000. Its totient is φ = 223534080.

The previous prime is 974701709. The next prime is 974701753. The reversal of 974701728 is 827107479.

It is a happy number.

974701728 is a `hidden beast` number, since 9 + 7 + 470 + 172 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42378325 + ... + 42378347.

It is an arithmetic number, because the mean of its divisors is an integer number (5292000).

Almost surely, 2^974701728 is an apocalyptic number.

974701728 is a gapful number since it is divisible by the number (98) 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 974701728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032128000).

974701728 is an abundant number, since it is smaller than the sum of its proper divisors (3089554272).

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

974701728 is a wasteful number, since it uses less digits than its factorization.

974701728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 974701728 is about 31220.2134521851. The cubic root of 974701728 is about 991.4951146534.

The spelling of 974701728 in words is "nine hundred seventy-four million, seven hundred one thousand, seven hundred twenty-eight".