30828960 has 144 divisors (see below), whose sum is σ = 106928640. Its totient is φ = 8087040.

The previous prime is 30828953. The next prime is 30828971. The reversal of 30828960 is 6982803.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 113625 + ... + 113895.

It is an arithmetic number, because the mean of its divisors is an integer number (742560).

Almost surely, 2^30828960 is an apocalyptic number.

30828960 is a gapful number since it is divisible by the number (30) 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 30828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53464320).

30828960 is an abundant number, since it is smaller than the sum of its proper divisors (76099680).

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

30828960 is a wasteful number, since it uses less digits than its factorization.

30828960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 30828960 is about 5552.3832720734. The cubic root of 30828960 is about 313.5592556048.

The spelling of 30828960 in words is "thirty million, eight hundred twenty-eight thousand, nine hundred sixty".