30528960 has 336 divisors, whose sum is σ = 125089920. Its totient is φ = 6236160.

The previous prime is 30528947. The next prime is 30528961. The reversal of 30528960 is 6982503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (33) 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30528961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517411 + ... + 517469.

Almost surely, 2^30528960 is an apocalyptic number.

30528960 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 30528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62544960).

30528960 is an abundant number, since it is smaller than the sum of its proper divisors (94560960).

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

30528960 is a wasteful number, since it uses less digits than its factorization.

30528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 30528960 is about 5525.3018017118. The cubic root of 30528960 is about 312.5388453045.

The spelling of 30528960 in words is "thirty million, five hundred twenty-eight thousand, nine hundred sixty".