28891600 has 30 divisors (see below), whose sum is σ = 69413030. Its totient is φ = 11556480.

The previous prime is 28891579. The next prime is 28891607. The reversal of 28891600 is 619882.

It can be written as a sum of positive squares in 3 ways, for example, as 76176 + 28815424 = 276^2 + 5368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28891607) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 35715 + ... + 36514.

Almost surely, 2^28891600 is an apocalyptic number.

28891600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28891600 is an abundant number, since it is smaller than the sum of its proper divisors (40521430).

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

28891600 is a wasteful number, since it uses less digits than its factorization.

28891600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72247 (or 72236 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 28891600 is about 5375.0906969092. The cubic root of 28891600 is about 306.8484009974.

It can be divided in two parts, 2889 and 1600, that added together give a square (4489 = 67²).

The spelling of 28891600 in words is "twenty-eight million, eight hundred ninety-one thousand, six hundred".