180028992 has 224 divisors, whose sum is σ = 573511680. Its totient is φ = 49121280.

The previous prime is 180028957. The next prime is 180029021. The reversal of 180028992 is 299820081.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 180028992.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2168983 + ... + 2169065.

It is an arithmetic number, because the mean of its divisors is an integer number (2560320).

Almost surely, 2^180028992 is an apocalyptic number.

180028992 is a gapful number since it is divisible by the number (12) 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 180028992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286755840).

180028992 is an abundant number, since it is smaller than the sum of its proper divisors (393482688).

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

180028992 is a wasteful number, since it uses less digits than its factorization.

180028992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 180028992 is about 13417.4882895421. The cubic root of 180028992 is about 564.6519296085.

The spelling of 180028992 in words is "one hundred eighty million, twenty-eight thousand, nine hundred ninety-two".