28966329000 has 384 divisors, whose sum is σ = 116043782400. Its totient is φ = 6620486400.

The previous prime is 28966328981. The next prime is 28966329017. The reversal of 28966329000 is 92366982.

28966329000 is a `hidden beast` number, since 2 + 8 + 9 + 6 + 632 + 9 + 0 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1692486 + ... + 1709514.

It is an arithmetic number, because the mean of its divisors is an integer number (302197350).

Almost surely, 2^28966329000 is an apocalyptic number.

28966329000 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 28966329000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58021891200).

28966329000 is an abundant number, since it is smaller than the sum of its proper divisors (87077453400).

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

28966329000 is a wasteful number, since it uses less digits than its factorization.

28966329000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17072 (or 17046 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 28966329000 in words is "twenty-eight billion, nine hundred sixty-six million, three hundred twenty-nine thousand".