30613128 has 128 divisors (see below), whose sum is σ = 95800320. Its totient is φ = 7937280.

The previous prime is 30613111. The next prime is 30613129. The reversal of 30613128 is 82131603.

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 = 30613098 and 30613107.

It is not an unprimeable number, because it can be changed into a prime (30613129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233623 + ... + 233753.

It is an arithmetic number, because the mean of its divisors is an integer number (748440).

Almost surely, 2^30613128 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 30613128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47900160).

30613128 is an abundant number, since it is smaller than the sum of its proper divisors (65187192).

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

30613128 is a wasteful number, since it uses less digits than its factorization.

30613128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

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

The square root of 30613128 is about 5532.9131567376. The cubic root of 30613128 is about 312.8258037814.

The spelling of 30613128 in words is "thirty million, six hundred thirteen thousand, one hundred twenty-eight".