28669233600 has 756 divisors, whose sum is σ = 121547095488. Its totient is φ = 6386688000.

The previous prime is 28669233539. The next prime is 28669233673. The reversal of 28669233600 is 633296682.

28669233600 is a `hidden beast` number, since 2 + 8 + 6 + 6 + 9 + 2 + 33 + 600 = 666.

It is a super-2 number, since 2×28669233600² (a number of 22 digits) contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 28929105 + ... + 28930095.

Almost surely, 2^28669233600 is an apocalyptic number.

28669233600 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 28669233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60773547744).

28669233600 is an abundant number, since it is smaller than the sum of its proper divisors (92877861888).

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

28669233600 is a wasteful number, since it uses less digits than its factorization.

28669233600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 28669233600 in words is "twenty-eight billion, six hundred sixty-nine million, two hundred thirty-three thousand, six hundred".