28950339600 has 840 divisors, whose sum is σ = 128464819392. Its totient is φ = 6102604800.

The previous prime is 28950339511. The next prime is 28950339661. The reversal of 28950339600 is 693305982.

28950339600 is a `hidden beast` number, since 2 + 8 + 9 + 5 + 0 + 3 + 39 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 26535055 + ... + 26536145.

Almost surely, 2^28950339600 is an apocalyptic number.

28950339600 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 28950339600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64232409696).

28950339600 is an abundant number, since it is smaller than the sum of its proper divisors (99514479792).

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

28950339600 is a wasteful number, since it uses less digits than its factorization.

28950339600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 28950339600 in words is "twenty-eight billion, nine hundred fifty million, three hundred thirty-nine thousand, six hundred".