28674800 has 240 divisors, whose sum is σ = 92256000. Its totient is φ = 8467200.

The previous prime is 28674791. The next prime is 28674803. The reversal of 28674800 is 847682.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28674803) 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 47 ways as a sum of consecutive naturals, for example, 1509191 + ... + 1509209.

It is an arithmetic number, because the mean of its divisors is an integer number (384400).

Almost surely, 2^28674800 is an apocalyptic number.

28674800 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 28674800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46128000).

28674800 is an abundant number, since it is smaller than the sum of its proper divisors (63581200).

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

28674800 is a wasteful number, since it uses less digits than its factorization.

28674800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 28674800 is about 5354.8856196935. The cubic root of 28674800 is about 306.0789521025.

It can be divided in two parts, 2867 and 4800, that added together give a palindrome (7667).

The spelling of 28674800 in words is "twenty-eight million, six hundred seventy-four thousand, eight hundred".