18880128 has 96 divisors (see below), whose sum is σ = 56434560. Its totient is φ = 6283008.

The previous prime is 18880117. The next prime is 18880157. The reversal of 18880128 is 82108881.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 18880092 and 18880101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30801 + ... + 31407.

It is an arithmetic number, because the mean of its divisors is an integer number (587860).

Almost surely, 2^18880128 is an apocalyptic number.

18880128 is a gapful number since it is divisible by the number (18) 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 18880128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28217280).

18880128 is an abundant number, since it is smaller than the sum of its proper divisors (37554432).

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

18880128 is an frugal number, since it uses more digits than its factorization.

18880128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 18880128 is about 4345.1269256490. The cubic root of 18880128 is about 266.2778110207.

The spelling of 18880128 in words is "eighteen million, eight hundred eighty thousand, one hundred twenty-eight".