28677600 has 216 divisors, whose sum is σ = 115773840. Its totient is φ = 6543360.

The previous prime is 28677587. The next prime is 28677601. The reversal of 28677600 is 677682.

28677600 = T₂₁₇ + T₂₁₈ + ... + T₅₆₆.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28677601) 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 35 ways as a sum of consecutive naturals, for example, 50116 + ... + 50684.

It is an arithmetic number, because the mean of its divisors is an integer number (535990).

Almost surely, 2^28677600 is an apocalyptic number.

28677600 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 28677600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57886920).

28677600 is an abundant number, since it is smaller than the sum of its proper divisors (87096240).

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

28677600 is a wasteful number, since it uses less digits than its factorization.

28677600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 28677600 is about 5355.1470568043. The cubic root of 28677600 is about 306.0889143129.

The spelling of 28677600 in words is "twenty-eight million, six hundred seventy-seven thousand, six hundred".