30528240 has 80 divisors (see below), whose sum is σ = 95458176. Its totient is φ = 8070400.

The previous prime is 30528227. The next prime is 30528241. The reversal of 30528240 is 4282503.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30528240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30528241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30955 + ... + 31925.

Almost surely, 2^30528240 is an apocalyptic number.

30528240 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 30528240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47729088).

30528240 is an abundant number, since it is smaller than the sum of its proper divisors (64929936).

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

30528240 is a wasteful number, since it uses less digits than its factorization.

30528240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 30528240 is about 5525.2366465157. The cubic root of 30528240 is about 312.5363882960.

The spelling of 30528240 in words is "thirty million, five hundred twenty-eight thousand, two hundred forty".