28812000 has 240 divisors, whose sum is σ = 110112912. Its totient is φ = 6585600.

The previous prime is 28811983. The next prime is 28812023. The reversal of 28812000 is 21882.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4115997 + ... + 4116003.

Almost surely, 2^28812000 is an apocalyptic number.

28812000 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 28812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55056456).

28812000 is an abundant number, since it is smaller than the sum of its proper divisors (81300912).

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

28812000 is an frugal number, since it uses more digits than its factorization.

28812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 28812000 is about 5367.6810635506. The cubic root of 28812000 is about 306.5663397922.

Adding to 28812000 its reverse (21882), we get a palindrome (28833882).

The spelling of 28812000 in words is "twenty-eight million, eight hundred twelve thousand".