28764288000 has 1408 divisors, whose sum is σ = 128754662400. Its totient is φ = 6193152000.

The previous prime is 28764287999. The next prime is 28764288011. The reversal of 28764288000 is 88246782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 701567980 + ... + 701568020.

Almost surely, 2^28764288000 is an apocalyptic number.

28764288000 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 28764288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64377331200).

28764288000 is an abundant number, since it is smaller than the sum of its proper divisors (99990374400).

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

28764288000 is a wasteful number, since it uses less digits than its factorization.

28764288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 28764288000 in words is "twenty-eight billion, seven hundred sixty-four million, two hundred eighty-eight thousand".