28936000 has 56 divisors (see below), whose sum is σ = 71679816. Its totient is φ = 11571200.

The previous prime is 28935971. The next prime is 28936003. The reversal of 28936000 is 63982.

It can be written as a sum of positive squares in 4 ways, for example, as 8433216 + 20502784 = 2904^2 + 4528^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28936000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28936003) 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 7 ways as a sum of consecutive naturals, for example, 6192 + ... + 9808.

Almost surely, 2^28936000 is an apocalyptic number.

28936000 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 28936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35839908).

28936000 is an abundant number, since it is smaller than the sum of its proper divisors (42743816).

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

28936000 is an equidigital number, since it uses as much as digits as its factorization.

28936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 28936000 is about 5379.2192742070. The cubic root of 28936000 is about 307.0055065910.

Adding to 28936000 its reverse (63982), we get a palindrome (28999982).

The spelling of 28936000 in words is "twenty-eight million, nine hundred thirty-six thousand".