28971129600 has 864 divisors, whose sum is σ = 124457034240. Its totient is φ = 6456360960.

The previous prime is 28971129599. The next prime is 28971129617. The reversal of 28971129600 is 692117982.

28971129600 is a `hidden beast` number, since 2 + 8 + 9 + 7 + 11 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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, 52012522 + ... + 52013078.

Almost surely, 2^28971129600 is an apocalyptic number.

28971129600 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 28971129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62228517120).

28971129600 is an abundant number, since it is smaller than the sum of its proper divisors (95485904640).

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

28971129600 is a wasteful number, since it uses less digits than its factorization.

28971129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 28971129600 in words is "twenty-eight billion, nine hundred seventy-one million, one hundred twenty-nine thousand, six hundred".