28480480 has 96 divisors (see below), whose sum is σ = 78382080. Its totient is φ = 9576960.

The previous prime is 28480477. The next prime is 28480493. The reversal of 28480480 is 8408482.

It is a super-2 number, since 2×28480480² = 1622275482060800, 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 15 ways as a sum of consecutive naturals, for example, 65865 + ... + 66295.

It is an arithmetic number, because the mean of its divisors is an integer number (816480).

Almost surely, 2^28480480 is an apocalyptic number.

28480480 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 28480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39191040).

28480480 is an abundant number, since it is smaller than the sum of its proper divisors (49901600).

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

28480480 is a wasteful number, since it uses less digits than its factorization.

28480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 28480480 is about 5336.7105973624. The cubic root of 28480480 is about 305.3859844920.

The spelling of 28480480 in words is "twenty-eight million, four hundred eighty thousand, four hundred eighty".