28984320 has 264 divisors, whose sum is σ = 109211544. Its totient is φ = 7077888.

The previous prime is 28984309. The next prime is 28984339. The reversal of 28984320 is 2348982.

It can be written as a sum of positive squares in 4 ways, for example, as 11943936 + 17040384 = 3456^2 + 4128^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783342 + ... + 783378.

Almost surely, 2^28984320 is an apocalyptic number.

28984320 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 28984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54605772).

28984320 is an abundant number, since it is smaller than the sum of its proper divisors (80227224).

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

28984320 is a wasteful number, since it uses less digits than its factorization.

28984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 28984320 is about 5383.7087588390. The cubic root of 28984320 is about 307.1763002550.

The spelling of 28984320 in words is "twenty-eight million, nine hundred eighty-four thousand, three hundred twenty".