28965434700 has 144 divisors (see below), whose sum is σ = 88814565504. Its totient is φ = 7263360000.

The previous prime is 28965434669. The next prime is 28965434749. The reversal of 28965434700 is 743456982.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 28965434700.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8908075 + ... + 8911325.

It is an arithmetic number, because the mean of its divisors is an integer number (616767816).

Almost surely, 2^28965434700 is an apocalyptic number.

28965434700 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 28965434700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44407282752).

28965434700 is an abundant number, since it is smaller than the sum of its proper divisors (59849130804).

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

28965434700 is a wasteful number, since it uses less digits than its factorization.

28965434700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032 (or 5025 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 28965434700 in words is "twenty-eight billion, nine hundred sixty-five million, four hundred thirty-four thousand, seven hundred".