28961291970 has 192 divisors, whose sum is σ = 86385761280. Its totient is φ = 6668642304.

The previous prime is 28961291969. The next prime is 28961291999. The reversal of 28961291970 is 7919216982.

28961291970 is a `hidden beast` number, since 2 + 8 + 9 + 612 + 9 + 19 + 7 + 0 = 666.

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, 3317271 + ... + 3325989.

It is an arithmetic number, because the mean of its divisors is an integer number (449925840).

Almost surely, 2^28961291970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28961291970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43192880640).

28961291970 is an abundant number, since it is smaller than the sum of its proper divisors (57424469310).

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

28961291970 is a wasteful number, since it uses less digits than its factorization.

28961291970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8929 (or 8926 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 28961291970 in words is "twenty-eight billion, nine hundred sixty-one million, two hundred ninety-one thousand, nine hundred seventy".