28274400 has 576 divisors, whose sum is σ = 134991360. Its totient is φ = 5529600.

The previous prime is 28274381. The next prime is 28274431. The reversal of 28274400 is 447282.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1663192 + ... + 1663208.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^28274400 is an apocalyptic number.

28274400 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 28274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

28274400 is an abundant number, since it is smaller than the sum of its proper divisors (106716960).

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

28274400 is a wasteful number, since it uses less digits than its factorization.

28274400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 28274400 is about 5317.3677698651. The cubic root of 28274400 is about 304.6476267348.

It can be divided in two parts, 2827 and 4400, that added together give a palindrome (7227).

The spelling of 28274400 in words is "twenty-eight million, two hundred seventy-four thousand, four hundred".