28759680 has 96 divisors (see below), whose sum is σ = 99330660. Its totient is φ = 7667712.

The previous prime is 28759667. The next prime is 28759681. The reversal of 28759680 is 8695782.

It can be written as a sum of positive squares in 2 ways, for example, as 28132416 + 627264 = 5304^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28759681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3264 + ... + 8256.

Almost surely, 2^28759680 is an apocalyptic number.

28759680 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 28759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49665330).

28759680 is an abundant number, since it is smaller than the sum of its proper divisors (70570980).

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

28759680 is a wasteful number, since it uses less digits than its factorization.

28759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5018 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 28759680 is about 5362.8052360682. The cubic root of 28759680 is about 306.3806617240.

The spelling of 28759680 in words is "twenty-eight million, seven hundred fifty-nine thousand, six hundred eighty".