30725422728 has 512 divisors, whose sum is σ = 110005862400. Its totient is φ = 6886425600.

The previous prime is 30725422723. The next prime is 30725422799. The reversal of 30725422728 is 82722452703.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 30725422728.

It is not an unprimeable number, because it can be changed into a prime (30725422723) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 37885443 + ... + 37886253.

It is an arithmetic number, because the mean of its divisors is an integer number (214855200).

Almost surely, 2^30725422728 is an apocalyptic number.

30725422728 is a gapful number since it is divisible by the number (38) 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 30725422728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55002931200).

30725422728 is an abundant number, since it is smaller than the sum of its proper divisors (79280439672).

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

30725422728 is a wasteful number, since it uses less digits than its factorization.

30725422728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 30725422728 in words is "thirty billion, seven hundred twenty-five million, four hundred twenty-two thousand, seven hundred twenty-eight".