28679400 has 192 divisors, whose sum is σ = 101779200. Its totient is φ = 7418880.

The previous prime is 28679389. The next prime is 28679419. The reversal of 28679400 is 497682.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253744 + ... + 253856.

It is an arithmetic number, because the mean of its divisors is an integer number (530100).

Almost surely, 2^28679400 is an apocalyptic number.

28679400 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 28679400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50889600).

28679400 is an abundant number, since it is smaller than the sum of its proper divisors (73099800).

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

28679400 is a wasteful number, since it uses less digits than its factorization.

28679400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 28679400 is about 5355.3151167788. The cubic root of 28679400 is about 306.0953182486.

The spelling of 28679400 in words is "twenty-eight million, six hundred seventy-nine thousand, four hundred".