728642502 has 48 divisors (see below), whose sum is σ = 1812874752. Its totient is φ = 207189360.

The previous prime is 728642489. The next prime is 728642531. The reversal of 728642502 is 205246827.

728642502 is a `hidden beast` number, since 7 + 2 + 8 + 642 + 5 + 0 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12883 + ... + 40289.

It is an arithmetic number, because the mean of its divisors is an integer number (37768224).

Almost surely, 2^728642502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728642502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906437376).

728642502 is an abundant number, since it is smaller than the sum of its proper divisors (1084232250).

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

728642502 is a wasteful number, since it uses less digits than its factorization.

728642502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27633 (or 27630 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 728642502 is about 26993.3788548229. The cubic root of 728642502 is about 899.8528574262.

The spelling of 728642502 in words is "seven hundred twenty-eight million, six hundred forty-two thousand, five hundred two".