28766304 has 144 divisors (see below), whose sum is σ = 98542080. Its totient is φ = 7776000.

The previous prime is 28766291. The next prime is 28766317. The reversal of 28766304 is 40366782.

It is an interprime number because it is at equal distance from previous prime (28766291) and next prime (28766317).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37929 + ... + 38679.

It is an arithmetic number, because the mean of its divisors is an integer number (684320).

Almost surely, 2^28766304 is an apocalyptic number.

28766304 is a gapful number since it is divisible by the number (24) 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 28766304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49271040).

28766304 is an abundant number, since it is smaller than the sum of its proper divisors (69775776).

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

28766304 is a wasteful number, since it uses less digits than its factorization.

28766304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 28766304 is about 5363.4227877355. The cubic root of 28766304 is about 306.4041820334.

It can be divided in two parts, 2876 and 6304, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 28766304 in words is "twenty-eight million, seven hundred sixty-six thousand, three hundred four".