28264400 has 60 divisors (see below), whose sum is σ = 71498400. Its totient is φ = 10707840.

The previous prime is 28264393. The next prime is 28264403. The reversal of 28264400 is 446282.

It is a self number, because there is not a number n which added to its sum of digits gives 28264400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28264403) 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, 5741 + ... + 9459.

It is an arithmetic number, because the mean of its divisors is an integer number (1191640).

Almost surely, 2^28264400 is an apocalyptic number.

28264400 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 28264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35749200).

28264400 is an abundant number, since it is smaller than the sum of its proper divisors (43234000).

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

28264400 is a wasteful number, since it uses less digits than its factorization.

28264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 28264400 is about 5316.4273718353. The cubic root of 28264400 is about 304.6117068981.

The spelling of 28264400 in words is "twenty-eight million, two hundred sixty-four thousand, four hundred".