28533680 has 120 divisors (see below), whose sum is σ = 80151120. Its totient is φ = 9408000.

The previous prime is 28533647. The next prime is 28533689. The reversal of 28533680 is 8633582.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 28533680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28533689) 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, 113555 + ... + 113805.

It is an arithmetic number, because the mean of its divisors is an integer number (667926).

Almost surely, 2^28533680 is an apocalyptic number.

28533680 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 28533680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40075560).

28533680 is an abundant number, since it is smaller than the sum of its proper divisors (51617440).

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

28533680 is a wasteful number, since it uses less digits than its factorization.

28533680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 28533680 is about 5341.6926156416. The cubic root of 28533680 is about 305.5760143999.

The spelling of 28533680 in words is "twenty-eight million, five hundred thirty-three thousand, six hundred eighty".