30426400928 has 96 divisors (see below), whose sum is σ = 74815913088. Its totient is φ = 11833344000.

The previous prime is 30426400859. The next prime is 30426400987. The reversal of 30426400928 is 82900462403.

It is a happy number.

It is a super-2 number, since 2×30426400928² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 30426400891 and 30426400900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1411028 + ... + 1432428.

It is an arithmetic number, because the mean of its divisors is an integer number (779332428).

Almost surely, 2^30426400928 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 30426400928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37407956544).

30426400928 is an abundant number, since it is smaller than the sum of its proper divisors (44389512160).

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

30426400928 is a wasteful number, since it uses less digits than its factorization.

30426400928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22006 (or 21998 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 30426400928 in words is "thirty billion, four hundred twenty-six million, four hundred thousand, nine hundred twenty-eight".