28679800 has 48 divisors (see below), whose sum is σ = 67116240. Its totient is φ = 11397120.

The previous prime is 28679789. The next prime is 28679809. The reversal of 28679800 is 897682.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28679809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38229 + ... + 38971.

It is an arithmetic number, because the mean of its divisors is an integer number (1398255).

Almost surely, 2^28679800 is an apocalyptic number.

28679800 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 28679800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33558120).

28679800 is an abundant number, since it is smaller than the sum of its proper divisors (38436440).

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

28679800 is a wasteful number, since it uses less digits than its factorization.

28679800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 28679800 is about 5355.3524627236. The cubic root of 28679800 is about 306.0967413090.

The spelling of 28679800 in words is "twenty-eight million, six hundred seventy-nine thousand, eight hundred".