18952128 has 84 divisors (see below), whose sum is σ = 58524648. Its totient is φ = 5829120.

The previous prime is 18952097. The next prime is 18952133. The reversal of 18952128 is 82125981.

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 = 18952092 and 18952101.

It is a congruent number.

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, 6223 + ... + 8753.

It is an arithmetic number, because the mean of its divisors is an integer number (696722).

Almost surely, 2^18952128 is an apocalyptic number.

18952128 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 18952128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29262324).

18952128 is an abundant number, since it is smaller than the sum of its proper divisors (39572520).

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

18952128 is a wasteful number, since it uses less digits than its factorization.

18952128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562 (or 2549 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 18952128 is about 4353.4041852325. The cubic root of 18952128 is about 266.6158681015.

The spelling of 18952128 in words is "eighteen million, nine hundred fifty-two thousand, one hundred twenty-eight".