28714400 has 144 divisors (see below), whose sum is σ = 82682208. Its totient is φ = 9600000.

The previous prime is 28714397. The next prime is 28714403. The reversal of 28714400 is 441782.

It is an interprime number because it is at equal distance from previous prime (28714397) and next prime (28714403).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 28714400.

It is not an unprimeable number, because it can be changed into a prime (28714403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114275 + ... + 114525.

It is an arithmetic number, because the mean of its divisors is an integer number (574182).

Almost surely, 2^28714400 is an apocalyptic number.

28714400 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 28714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41341104).

28714400 is an abundant number, since it is smaller than the sum of its proper divisors (53967808).

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

28714400 is a wasteful number, since it uses less digits than its factorization.

28714400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 28714400 is about 5358.5819019588. The cubic root of 28714400 is about 306.2197859961.

The spelling of 28714400 in words is "twenty-eight million, seven hundred fourteen thousand, four hundred".