28484000 has 48 divisors (see below), whose sum is σ = 69995016. Its totient is φ = 11392000.

The previous prime is 28483991. The next prime is 28484041. The reversal of 28484000 is 48482.

It can be written as a sum of positive squares in 4 ways, for example, as 1817104 + 26666896 = 1348^2 + 5164^2 .

It is a super-2 number, since 2×28484000² = 1622676512000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 440 + ... + 7560.

Almost surely, 2^28484000 is an apocalyptic number.

28484000 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 28484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34997508).

28484000 is an abundant number, since it is smaller than the sum of its proper divisors (41511016).

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

28484000 is an equidigital number, since it uses as much as digits as its factorization.

28484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7146 (or 7128 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 28484000 is about 5337.0403783370. The cubic root of 28484000 is about 305.3985652067.

The spelling of 28484000 in words is "twenty-eight million, four hundred eighty-four thousand".