28394400 has 72 divisors (see below), whose sum is σ = 92431584. Its totient is φ = 7571200.

The previous prime is 28394389. The next prime is 28394407. The reversal of 28394400 is 449382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28394407) 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, 3516 + ... + 8315.

It is an arithmetic number, because the mean of its divisors is an integer number (1283772).

Almost surely, 2^28394400 is an apocalyptic number.

28394400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28394400 is an abundant number, since it is smaller than the sum of its proper divisors (64037184).

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

28394400 is a wasteful number, since it uses less digits than its factorization.

28394400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11854 (or 11841 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 28394400 is about 5328.6396012491. The cubic root of 28394400 is about 305.0780056682.

The spelling of 28394400 in words is "twenty-eight million, three hundred ninety-four thousand, four hundred".