30824128 has 56 divisors (see below), whose sum is σ = 66440304. Its totient is φ = 14131200.

The previous prime is 30824107. The next prime is 30824147. The reversal of 30824128 is 82142803.

It is a junction number, because it is equal to n+sod(n) for n = 30824096 and 30824105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44263 + ... + 44953.

It is an arithmetic number, because the mean of its divisors is an integer number (1186434).

Almost surely, 2^30824128 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 30824128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33220152).

30824128 is an abundant number, since it is smaller than the sum of its proper divisors (35616176).

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

30824128 is a wasteful number, since it uses less digits than its factorization.

30824128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 30824128 is about 5551.9481265588. The cubic root of 30824128 is about 313.5428727677.

The spelling of 30824128 in words is "thirty million, eight hundred twenty-four thousand, one hundred twenty-eight".