180028640 has 144 divisors (see below), whose sum is σ = 495902736. Its totient is φ = 61501440.

The previous prime is 180028633. The next prime is 180028669. The reversal of 180028640 is 46820081.

It is a super-2 number, since 2×180028640² = 64820622440499200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328847 + ... + 329393.

It is an arithmetic number, because the mean of its divisors is an integer number (3443769).

Almost surely, 2^180028640 is an apocalyptic number.

180028640 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 180028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247951368).

180028640 is an abundant number, since it is smaller than the sum of its proper divisors (315874096).

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

180028640 is a wasteful number, since it uses less digits than its factorization.

180028640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 180028640 is about 13417.4751723266. The cubic root of 180028640 is about 564.6515615981.

The spelling of 180028640 in words is "one hundred eighty million, twenty-eight thousand, six hundred forty".