180464328 has 128 divisors (see below), whose sum is σ = 551577600. Its totient is φ = 54216000.

The previous prime is 180464287. The next prime is 180464353. The reversal of 180464328 is 823464081.

180464328 is a `hidden beast` number, since 1 + 8 + 0 + 4 + 643 + 2 + 8 = 666.

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 = 180464292 and 180464301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358525 + ... + 359027.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2^180464328 is an apocalyptic number.

180464328 is a gapful number since it is divisible by the number (18) 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 180464328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275788800).

180464328 is an abundant number, since it is smaller than the sum of its proper divisors (371113272).

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

180464328 is a wasteful number, since it uses less digits than its factorization.

180464328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 180464328 is about 13433.7012025726. The cubic root of 180464328 is about 565.1066997692.

The spelling of 180464328 in words is "one hundred eighty million, four hundred sixty-four thousand, three hundred twenty-eight".