30400128 has 96 divisors (see below), whose sum is σ = 95472000. Its totient is φ = 9208320.

The previous prime is 30400127. The next prime is 30400159. The reversal of 30400128 is 82100403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 30400128.

It is not an unprimeable number, because it can be changed into a prime (30400127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11473 + ... + 13871.

It is an arithmetic number, because the mean of its divisors is an integer number (994500).

Almost surely, 2^30400128 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 30400128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47736000).

30400128 is an abundant number, since it is smaller than the sum of its proper divisors (65071872).

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

30400128 is a wasteful number, since it uses less digits than its factorization.

30400128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 30400128 is about 5513.6311084439. The cubic root of 30400128 is about 312.0985881735.

The spelling of 30400128 in words is "thirty million, four hundred thousand, one hundred twenty-eight".