28950105600 has 540 divisors, whose sum is σ = 112262497776. Its totient is φ = 7121387520.

The previous prime is 28950105593. The next prime is 28950105631. The reversal of 28950105600 is 650105982.

It is a happy number.

28950105600 is a `hidden beast` number, since 2 + 8 + 95 + 0 + 1 + 0 + 560 + 0 = 666.

It is a super-2 number, since 2×28950105600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 19468057 + ... + 19469543.

Almost surely, 2^28950105600 is an apocalyptic number.

28950105600 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 28950105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56131248888).

28950105600 is an abundant number, since it is smaller than the sum of its proper divisors (83312392176).

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

28950105600 is a wasteful number, since it uses less digits than its factorization.

28950105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 28950105600 in words is "twenty-eight billion, nine hundred fifty million, one hundred five thousand, six hundred".