28404800 has 84 divisors (see below), whose sum is σ = 71763636. Its totient is φ = 11059200.

The previous prime is 28404787. The next prime is 28404809. The reversal of 28404800 is 840482.

It can be written as a sum of positive squares in 6 ways, for example, as 10291264 + 18113536 = 3208^2 + 4256^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28404800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28404809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65384 + ... + 65816.

It is an arithmetic number, because the mean of its divisors is an integer number (854329).

Almost surely, 2^28404800 is an apocalyptic number.

28404800 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 28404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35881818).

28404800 is an abundant number, since it is smaller than the sum of its proper divisors (43358836).

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

28404800 is a wasteful number, since it uses less digits than its factorization.

28404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 28404800 is about 5329.6153707374. The cubic root of 28404800 is about 305.1152480349.

The spelling of 28404800 in words is "twenty-eight million, four hundred four thousand, eight hundred".