182008728 has 64 divisors (see below), whose sum is σ = 551548800. Its totient is φ = 55153440.

The previous prime is 182008721. The next prime is 182008741. The reversal of 182008728 is 827800281.

It is a super-3 number, since 3×182008728³ (a number of 26 digits) contains 333 as substring.

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 = 182008692 and 182008701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182008721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35926 + ... + 40677.

It is an arithmetic number, because the mean of its divisors is an integer number (8617950).

Almost surely, 2^182008728 is an apocalyptic number.

182008728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

182008728 is an abundant number, since it is smaller than the sum of its proper divisors (369540072).

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

182008728 is a wasteful number, since it uses less digits than its factorization.

182008728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76629 (or 76619 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 182008728 is about 13491.0610405557. The cubic root of 182008728 is about 566.7141696433.

The spelling of 182008728 in words is "one hundred eighty-two million, eight thousand, seven hundred twenty-eight".