28761600 has 240 divisors, whose sum is σ = 109600128. Its totient is φ = 6512640.

The previous prime is 28761599. The next prime is 28761631. The reversal of 28761600 is 616782.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268747 + ... + 268853.

Almost surely, 2^28761600 is an apocalyptic number.

28761600 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 28761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54800064).

28761600 is an abundant number, since it is smaller than the sum of its proper divisors (80838528).

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

28761600 is a wasteful number, since it uses less digits than its factorization.

28761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 28761600 is about 5362.9842438702. The cubic root of 28761600 is about 306.3874795766.

The spelling of 28761600 in words is "twenty-eight million, seven hundred sixty-one thousand, six hundred".