28933669800 has 288 divisors, whose sum is σ = 115164504000. Its totient is φ = 6613332480.

The previous prime is 28933669781. The next prime is 28933669823. The reversal of 28933669800 is 896633982.

It is a Cunningham number, because it is equal to 170099²-1.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 297676 + ... + 382724.

It is an arithmetic number, because the mean of its divisors is an integer number (399876750).

Almost surely, 2^28933669800 is an apocalyptic number.

28933669800 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 28933669800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57582252000).

28933669800 is an abundant number, since it is smaller than the sum of its proper divisors (86230834200).

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

28933669800 is a wasteful number, since it uses less digits than its factorization.

28933669800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85087 (or 85066 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 28933669800 in words is "twenty-eight billion, nine hundred thirty-three million, six hundred sixty-nine thousand, eight hundred".