28928680 has 96 divisors (see below), whose sum is σ = 73735200. Its totient is φ = 10200960.

The previous prime is 28928677. The next prime is 28928681. The reversal of 28928680 is 8682982.

28928680 = T₁₄₄ + T₁₄₅ + ... + T₅₆₀.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (28928681) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 208051 + ... + 208189.

It is an arithmetic number, because the mean of its divisors is an integer number (768075).

Almost surely, 2^28928680 is an apocalyptic number.

28928680 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 28928680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36867600).

28928680 is an abundant number, since it is smaller than the sum of its proper divisors (44806520).

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

28928680 is a wasteful number, since it uses less digits than its factorization.

28928680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 28928680 is about 5378.5388350369. The cubic root of 28928680 is about 306.9796164675.

The spelling of 28928680 in words is "twenty-eight million, nine hundred twenty-eight thousand, six hundred eighty".