28719600 has 240 divisors, whose sum is σ = 113659392. Its totient is φ = 6036480.

The previous prime is 28719589. The next prime is 28719611. The reversal of 28719600 is 691782.

It is an interprime number because it is at equal distance from previous prime (28719589) and next prime (28719611).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 109069 + ... + 109331.

Almost surely, 2^28719600 is an apocalyptic number.

28719600 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 28719600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56829696).

28719600 is an abundant number, since it is smaller than the sum of its proper divisors (84939792).

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

28719600 is a wasteful number, since it uses less digits than its factorization.

28719600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 28719600 is about 5359.0670829912. The cubic root of 28719600 is about 306.2382697159.

It can be divided in two parts, 2871 and 9600, that multiplied together give a triangular number (27561600 = T₇₄₂₄).

The spelling of 28719600 in words is "twenty-eight million, seven hundred nineteen thousand, six hundred".