28733760 has 168 divisors, whose sum is σ = 107935776. Its totient is φ = 6958080.

The previous prime is 28733759. The next prime is 28733797. The reversal of 28733760 is 6733782.

28733760 is a `hidden beast` number, since 287 + 3 + 376 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31227 + ... + 32133.

Almost surely, 2^28733760 is an apocalyptic number.

28733760 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 28733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53967888).

28733760 is an abundant number, since it is smaller than the sum of its proper divisors (79202016).

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

28733760 is a wasteful number, since it uses less digits than its factorization.

28733760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 28733760 is about 5360.3880456549. The cubic root of 28733760 is about 306.2885909997.

The spelling of 28733760 in words is "twenty-eight million, seven hundred thirty-three thousand, seven hundred sixty".