28649600 has 96 divisors (see below), whose sum is σ = 80947200. Its totient is φ = 9815040.

The previous prime is 28649597. The next prime is 28649617. The reversal of 28649600 is 694682.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21761 + ... + 23039.

It is an arithmetic number, because the mean of its divisors is an integer number (843200).

Almost surely, 2^28649600 is an apocalyptic number.

28649600 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 28649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40473600).

28649600 is an abundant number, since it is smaller than the sum of its proper divisors (52297600).

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

28649600 is a wasteful number, since it uses less digits than its factorization.

28649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 28649600 is about 5352.5321110667. The cubic root of 28649600 is about 305.9892630120.

28649600 divided by its sum of digits (35) gives a triangular number (818560 = T₁₂₇₉).

The spelling of 28649600 in words is "twenty-eight million, six hundred forty-nine thousand, six hundred".