180528480 has 384 divisors, whose sum is σ = 718502400. Its totient is φ = 41932800.

The previous prime is 180528433. The next prime is 180528497. The reversal of 180528480 is 84825081.

It is a super-2 number, since 2×180528480² = 65181064182220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1378015 + ... + 1378145.

It is an arithmetic number, because the mean of its divisors is an integer number (1871100).

Almost surely, 2^180528480 is an apocalyptic number.

180528480 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 180528480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359251200).

180528480 is an abundant number, since it is smaller than the sum of its proper divisors (537973920).

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

180528480 is a wasteful number, since it uses less digits than its factorization.

180528480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 180528480 is about 13436.0887165871. The cubic root of 180528480 is about 565.1736537771.

The spelling of 180528480 in words is "one hundred eighty million, five hundred twenty-eight thousand, four hundred eighty".