28769760 has 72 divisors (see below), whose sum is σ = 98181720. Its totient is φ = 7671552.

The previous prime is 28769737. The next prime is 28769761. The reversal of 28769760 is 6796782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28769761) 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, 8550 + ... + 11429.

It is an arithmetic number, because the mean of its divisors is an integer number (1363635).

Almost surely, 2^28769760 is an apocalyptic number.

28769760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28769760 is an abundant number, since it is smaller than the sum of its proper divisors (69411960).

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

28769760 is a wasteful number, since it uses less digits than its factorization.

28769760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20000 (or 19989 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 28769760 is about 5363.7449603798. The cubic root of 28769760 is about 306.4164520658.

The spelling of 28769760 in words is "twenty-eight million, seven hundred sixty-nine thousand, seven hundred sixty".