28966158900 has 972 divisors, whose sum is σ = 118315075788. Its totient is φ = 6113802240.

The previous prime is 28966158889. The next prime is 28966158919. The reversal of 28966158900 is 985166982.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 416649744 + 28549509156 = 20412^2 + 168966^2 .

It is a tau number, because it is divible by the number of its divisors (972).

It is a super-2 number, since 2×28966158900² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 546531274 + ... + 546531326.

It is an arithmetic number, because the mean of its divisors is an integer number (121723329).

Almost surely, 2^28966158900 is an apocalyptic number.

28966158900 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 28966158900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59157537894).

28966158900 is an abundant number, since it is smaller than the sum of its proper divisors (89348916888).

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

28966158900 is a wasteful number, since it uses less digits than its factorization.

28966158900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 28966158900 in words is "twenty-eight billion, nine hundred sixty-six million, one hundred fifty-eight thousand, nine hundred".