18628540 has 48 divisors (see below), whose sum is σ = 44964864. Its totient is φ = 6350400.

The previous prime is 18628529. The next prime is 18628579. The reversal of 18628540 is 4582681.

It is a junction number, because it is equal to n+sod(n) for n = 18628496 and 18628505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37695 + ... + 38185.

It is an arithmetic number, because the mean of its divisors is an integer number (936768).

Almost surely, 2^18628540 is an apocalyptic number.

18628540 is a gapful number since it is divisible by the number (10) 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 18628540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22482432).

18628540 is an abundant number, since it is smaller than the sum of its proper divisors (26336324).

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

18628540 is a wasteful number, since it uses less digits than its factorization.

18628540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 18628540 is about 4316.0792393097. The cubic root of 18628540 is about 265.0897524393.

The spelling of 18628540 in words is "eighteen million, six hundred twenty-eight thousand, five hundred forty".