28424880 has 240 divisors, whose sum is σ = 108055584. Its totient is φ = 6635520.

The previous prime is 28424873. The next prime is 28424899. The reversal of 28424880 is 8842482.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292992 + ... + 293088.

Almost surely, 2^28424880 is an apocalyptic number.

28424880 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 28424880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54027792).

28424880 is an abundant number, since it is smaller than the sum of its proper divisors (79630704).

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

28424880 is a wasteful number, since it uses less digits than its factorization.

28424880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 28424880 is about 5331.4988511675. The cubic root of 28424880 is about 305.1871287387.

The spelling of 28424880 in words is "twenty-eight million, four hundred twenty-four thousand, eight hundred eighty".