18628464 has 80 divisors (see below), whose sum is σ = 52416288. Its totient is φ = 5677056.

The previous prime is 18628451. The next prime is 18628499. The reversal of 18628464 is 46482681.

It is a super-3 number, since 3×18628464³ (a number of 23 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29884 + ... + 30500.

Almost surely, 2^18628464 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 18628464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26208144).

18628464 is an abundant number, since it is smaller than the sum of its proper divisors (33787824).

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

18628464 is a wasteful number, since it uses less digits than its factorization.

18628464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 676 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 18628464 is about 4316.0704350138. The cubic root of 18628464 is about 265.0893919378.

The spelling of 18628464 in words is "eighteen million, six hundred twenty-eight thousand, four hundred sixty-four".