30828240 has 120 divisors (see below), whose sum is σ = 105850368. Its totient is φ = 8037120.

The previous prime is 30828227. The next prime is 30828253. The reversal of 30828240 is 4282803.

It is an interprime number because it is at equal distance from previous prime (30828227) and next prime (30828253).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 33385 + ... + 34295.

Almost surely, 2^30828240 is an apocalyptic number.

30828240 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 30828240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52925184).

30828240 is an abundant number, since it is smaller than the sum of its proper divisors (75022128).

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

30828240 is a wasteful number, since it uses less digits than its factorization.

30828240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 30828240 is about 5552.3184346721. The cubic root of 30828240 is about 313.5568145621.

The spelling of 30828240 in words is "thirty million, eight hundred twenty-eight thousand, two hundred forty".