28950606900 has 216 divisors, whose sum is σ = 94292714880. Its totient is φ = 7704771840.

The previous prime is 28950606899. The next prime is 28950606901. The reversal of 28950606900 is 960605982.

28950606900 is a `hidden beast` number, since 2 + 89 + 506 + 0 + 69 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28950606899) and next prime (28950606901).

It is a super-2 number, since 2×28950606900² (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 not an unprimeable number, because it can be changed into a prime (28950606901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17470872 + ... + 17472528.

Almost surely, 2^28950606900 is an apocalyptic number.

28950606900 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 28950606900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47146357440).

28950606900 is an abundant number, since it is smaller than the sum of its proper divisors (65342107980).

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

28950606900 is a wasteful number, since it uses less digits than its factorization.

28950606900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 28950606900 in words is "twenty-eight billion, nine hundred fifty million, six hundred six thousand, nine hundred".