28465800 has 192 divisors, whose sum is σ = 101779200. Its totient is φ = 6508800.

The previous prime is 28465783. The next prime is 28465807. The reversal of 28465800 is 856482.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28465807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125287 + ... + 125513.

It is an arithmetic number, because the mean of its divisors is an integer number (530100).

Almost surely, 2^28465800 is an apocalyptic number.

28465800 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 28465800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50889600).

28465800 is an abundant number, since it is smaller than the sum of its proper divisors (73313400).

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

28465800 is a wasteful number, since it uses less digits than its factorization.

28465800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 28465800 is about 5335.3350410260. The cubic root of 28465800 is about 305.3335060141. Note that the first 3 decimals are identical.

It can be divided in two parts, 2846 and 5800, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 28465800 in words is "twenty-eight million, four hundred sixty-five thousand, eight hundred".