28095600 has 120 divisors (see below), whose sum is σ = 96976432. Its totient is φ = 6912000.

The previous prime is 28095559. The next prime is 28095601. The reversal of 28095600 is 659082.

28095600 = T₃₈₃ + T₃₈₄ + ... + T₆₀₇.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28095601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14700 + ... + 16500.

Almost surely, 2^28095600 is an apocalyptic number.

28095600 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 28095600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48488216).

28095600 is an abundant number, since it is smaller than the sum of its proper divisors (68880832).

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

28095600 is a wasteful number, since it uses less digits than its factorization.

28095600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 28095600 is about 5300.5282755590. The cubic root of 28095600 is about 304.0040973594.

The spelling of 28095600 in words is "twenty-eight million, ninety-five thousand, six hundred".