30464928 has 144 divisors (see below), whose sum is σ = 95397120. Its totient is φ = 9165312.

The previous prime is 30464899. The next prime is 30464953. The reversal of 30464928 is 82946403.

It is a happy number.

30464928 is a `hidden beast` number, since 3 + 0 + 4 + 649 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×30464928² = 1856223676090368, which contains 22 as substring.

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 = 30464892 and 30464901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295725 + ... + 295827.

It is an arithmetic number, because the mean of its divisors is an integer number (662480).

Almost surely, 2^30464928 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 30464928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47698560).

30464928 is an abundant number, since it is smaller than the sum of its proper divisors (64932192).

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

30464928 is a wasteful number, since it uses less digits than its factorization.

30464928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 30464928 is about 5519.5043255713. The cubic root of 30464928 is about 312.3201841252.

The spelling of 30464928 in words is "thirty million, four hundred sixty-four thousand, nine hundred twenty-eight".