28751760 has 280 divisors, whose sum is σ = 109780920. Its totient is φ = 6967296.

The previous prime is 28751747. The next prime is 28751761. The reversal of 28751760 is 6715782.

28751760 is a `hidden beast` number, since 2 + 87 + 517 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6170256 + 22581504 = 2484^2 + 4752^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28751761) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 991426 + ... + 991454.

Almost surely, 2^28751760 is an apocalyptic number.

28751760 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 28751760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54890460).

28751760 is an abundant number, since it is smaller than the sum of its proper divisors (81029160).

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

28751760 is a wasteful number, since it uses less digits than its factorization.

28751760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 28751760 is about 5362.0667657164. The cubic root of 28751760 is about 306.3525348740.

The spelling of 28751760 in words is "twenty-eight million, seven hundred fifty-one thousand, seven hundred sixty".