28429133875576 has 256 divisors, whose sum is σ = 64757145600000. Its totient is φ = 11683148400000.

The previous prime is 28429133875573. The next prime is 28429133875579. The reversal of 28429133875576 is 67557833192482.

It is an interprime number because it is at equal distance from previous prime (28429133875573) and next prime (28429133875579).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28429133875573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4248858391 + ... + 4248865081.

It is an arithmetic number, because the mean of its divisors is an integer number (252957600000).

Almost surely, 2^{28429133875576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28429133875576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32378572800000).

28429133875576 is an abundant number, since it is smaller than the sum of its proper divisors (36328011724424).

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

28429133875576 is a wasteful number, since it uses less digits than its factorization.

28429133875576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7199 (or 7181 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 70.

The spelling of 28429133875576 in words is "twenty-eight trillion, four hundred twenty-nine billion, one hundred thirty-three million, eight hundred seventy-five thousand, five hundred seventy-six".