30132260928 has 224 divisors, whose sum is σ = 110441963520. Its totient is φ = 7826526720.

The previous prime is 30132260867. The next prime is 30132260957. The reversal of 30132260928 is 82906223103.

30132260928 is a `hidden beast` number, since 3 + 0 + 1 + 3 + 22 + 609 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30132260892 and 30132260901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19825 + ... + 246287.

It is an arithmetic number, because the mean of its divisors is an integer number (493044480).

Almost surely, 2^30132260928 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 30132260928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55220981760).

30132260928 is an abundant number, since it is smaller than the sum of its proper divisors (80309702592).

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

30132260928 is a wasteful number, since it uses less digits than its factorization.

30132260928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226502 (or 226486 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 30132260928 in words is "thirty billion, one hundred thirty-two million, two hundred sixty thousand, nine hundred twenty-eight".