28590240 has 192 divisors, whose sum is σ = 105283584. Its totient is φ = 6386688.

The previous prime is 28590239. The next prime is 28590251. The reversal of 28590240 is 4209582.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 28590198 and 28590207.

It is a congruent number.

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, 225057 + ... + 225183.

It is an arithmetic number, because the mean of its divisors is an integer number (548352).

Almost surely, 2^28590240 is an apocalyptic number.

28590240 is a gapful number since it is divisible by the number (20) 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 28590240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52641792).

28590240 is an abundant number, since it is smaller than the sum of its proper divisors (76693344).

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

28590240 is a wasteful number, since it uses less digits than its factorization.

28590240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 28590240 is about 5346.9841967225. The cubic root of 28590240 is about 305.7777873237. Note that the first 4 decimals are identical.

It can be divided in two parts, 285 and 90240, that added together give a triangular number (90525 = T₄₂₅).

The spelling of 28590240 in words is "twenty-eight million, five hundred ninety thousand, two hundred forty".