28364000 has 96 divisors (see below), whose sum is σ = 79724736. Its totient is φ = 9715200.

The previous prime is 28363997. The next prime is 28364009. The reversal of 28364000 is 46382.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28364009) 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 15 ways as a sum of consecutive naturals, for example, 27494 + ... + 28506.

It is an arithmetic number, because the mean of its divisors is an integer number (830466).

Almost surely, 2^28364000 is an apocalyptic number.

28364000 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 28364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39862368).

28364000 is an abundant number, since it is smaller than the sum of its proper divisors (51360736).

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

28364000 is a wasteful number, since it uses less digits than its factorization.

28364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 28364000 is about 5325.7863269192. The cubic root of 28364000 is about 304.9690911973.

The spelling of 28364000 in words is "twenty-eight million, three hundred sixty-four thousand".