30611328 has 64 divisors (see below), whose sum is σ = 88715520. Its totient is φ = 9274880.

The previous prime is 30611311. The next prime is 30611341. The reversal of 30611328 is 82311603.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 30611298 and 30611307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 601 + ... + 7847.

It is an arithmetic number, because the mean of its divisors is an integer number (1386180).

Almost surely, 2^30611328 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 30611328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44357760).

30611328 is an abundant number, since it is smaller than the sum of its proper divisors (58104192).

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

30611328 is a wasteful number, since it uses less digits than its factorization.

30611328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7275 (or 7263 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 30611328 is about 5532.7504913921. The cubic root of 30611328 is about 312.8196724523.

The spelling of 30611328 in words is "thirty million, six hundred eleven thousand, three hundred twenty-eight".