18761328 has 80 divisors (see below), whose sum is σ = 54416160. Its totient is φ = 6188544.

The previous prime is 18761321. The next prime is 18761333. The reversal of 18761328 is 82316781.

18761328 is a `hidden beast` number, since 18 + 7 + 613 + 28 = 666.

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 = 18761292 and 18761301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18761321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59026 + ... + 59342.

It is an arithmetic number, because the mean of its divisors is an integer number (680202).

Almost surely, 2^18761328 is an apocalyptic number.

18761328 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 18761328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27208080).

18761328 is an abundant number, since it is smaller than the sum of its proper divisors (35654832).

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

18761328 is a wasteful number, since it uses less digits than its factorization.

18761328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 459 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 18761328 is about 4331.4348661846. The cubic root of 18761328 is about 265.7181328416.

The spelling of 18761328 in words is "eighteen million, seven hundred sixty-one thousand, three hundred twenty-eight".