28902400 has 66 divisors (see below), whose sum is σ = 71706410. Its totient is φ = 11550720.

The previous prime is 28902383. The next prime is 28902403. The reversal of 28902400 is 420982.

It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 28901376 = 32^2 + 5376^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (28902403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25036 + ... + 26164.

Almost surely, 2^28902400 is an apocalyptic number.

28902400 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 28902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35853205).

28902400 is an abundant number, since it is smaller than the sum of its proper divisors (42804010).

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

28902400 is a wasteful number, since it uses less digits than its factorization.

28902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 28902400 is about 5376.0952372517. The cubic root of 28902400 is about 306.8866306776.

The spelling of 28902400 in words is "twenty-eight million, nine hundred two thousand, four hundred".