28453600 has 72 divisors (see below), whose sum is σ = 79401168. Its totient is φ = 9753600.

The previous prime is 28453591. The next prime is 28453637. The reversal of 28453600 is 635482.

It is a hoax number, since the sum of its digits (28) 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 (28).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3060 + ... + 8140.

It is an arithmetic number, because the mean of its divisors is an integer number (1102794).

Almost surely, 2^28453600 is an apocalyptic number.

28453600 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 28453600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39700584).

28453600 is an abundant number, since it is smaller than the sum of its proper divisors (50947568).

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

28453600 is a wasteful number, since it uses less digits than its factorization.

28453600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5108 (or 5095 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 28453600 is about 5334.1915976088. The cubic root of 28453600 is about 305.2898793806.

It can be divided in two parts, 28 and 453600, that added together give a triangular number (453628 = T₉₅₂).

The spelling of 28453600 in words is "twenty-eight million, four hundred fifty-three thousand, six hundred".