28284480 has 336 divisors, whose sum is σ = 117921024. Its totient is φ = 6082560.

The previous prime is 28284479. The next prime is 28284499. The reversal of 28284480 is 8448282.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463650 + ... + 463710.

Almost surely, 2^28284480 is an apocalyptic number.

28284480 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 28284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58960512).

28284480 is an abundant number, since it is smaller than the sum of its proper divisors (89636544).

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

28284480 is a wasteful number, since it uses less digits than its factorization.

28284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

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

The square root of 28284480 is about 5318.3155227948. The cubic root of 28284480 is about 304.6838253600.

The spelling of 28284480 in words is "twenty-eight million, two hundred eighty-four thousand, four hundred eighty".