28488960 has 108 divisors (see below), whose sum is σ = 98608692. Its totient is φ = 7593984.

The previous prime is 28488959. The next prime is 28489007. The reversal of 28488960 is 6988482.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15872256 + 12616704 = 3984^2 + 3552^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10284 + ... + 12756.

Almost surely, 2^28488960 is an apocalyptic number.

28488960 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 28488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49304346).

28488960 is an abundant number, since it is smaller than the sum of its proper divisors (70119732).

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

28488960 is a wasteful number, since it uses less digits than its factorization.

28488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 28488960 is about 5337.5050351264. The cubic root of 28488960 is about 305.4162908184.

The spelling of 28488960 in words is "twenty-eight million, four hundred eighty-eight thousand, nine hundred sixty".