28952350837200 has 2160 divisors, whose sum is σ = 129176260761600. Its totient is φ = 5963047372800.

The previous prime is 28952350837183. The next prime is 28952350837279. The reversal of 28952350837200 is 273805325982.

It is a happy number.

28952350837200 is a `hidden beast` number, since 2 + 8 + 9 + 5 + 2 + 350 + 83 + 7 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6130074039 + ... + 6130078761.

Almost surely, 2^{28952350837200} is an apocalyptic number.

28952350837200 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 28952350837200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64588130380800).

28952350837200 is an abundant number, since it is smaller than the sum of its proper divisors (100223909924400).

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

28952350837200 is a wasteful number, since it uses less digits than its factorization.

28952350837200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 4849 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 28952350837200 in words is "twenty-eight trillion, nine hundred fifty-two billion, three hundred fifty million, eight hundred thirty-seven thousand, two hundred".