180405828 has 18 divisors (see below), whose sum is σ = 456025934. Its totient is φ = 60135264.

The previous prime is 180405811. The next prime is 180405857. The reversal of 180405828 is 828504081.

It can be written as a sum of positive squares in only one way, i.e., 100160064 + 80245764 = 10008^2 + 8958^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 5011273 = 180405828 / (1 + 8 + 0 + 4 + 0 + 5 + 8 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 180405792 and 180405801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2505601 + ... + 2505672.

Almost surely, 2^180405828 is an apocalyptic number.

180405828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

180405828 is an abundant number, since it is smaller than the sum of its proper divisors (275620106).

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

180405828 is a wasteful number, since it uses less digits than its factorization.

180405828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5011283 (or 5011278 counting only the distinct ones).

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

The square root of 180405828 is about 13431.5236663604. The cubic root of 180405828 is about 565.0456307940.

The spelling of 180405828 in words is "one hundred eighty million, four hundred five thousand, eight hundred twenty-eight".