28764960 has 144 divisors (see below), whose sum is σ = 105489216. Its totient is φ = 6569472.

The previous prime is 28764959. The next prime is 28764961. The reversal of 28764960 is 6946782.

It is an interprime number because it is at equal distance from previous prime (28764959) and next prime (28764961).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (28764961) 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, 22909 + ... + 24131.

It is an arithmetic number, because the mean of its divisors is an integer number (732564).

Almost surely, 2^28764960 is an apocalyptic number.

28764960 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 28764960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52744608).

28764960 is an abundant number, since it is smaller than the sum of its proper divisors (76724256).

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

28764960 is a wasteful number, since it uses less digits than its factorization.

28764960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 28764960 is about 5363.2974931473. The cubic root of 28764960 is about 306.3994100887.

The spelling of 28764960 in words is "twenty-eight million, seven hundred sixty-four thousand, nine hundred sixty".