28429712334720 has 384 divisors, whose sum is σ = 100640166681600. Its totient is φ = 7390876631040.

The previous prime is 28429712334719. The next prime is 28429712334817. The reversal of 28429712334720 is 2743321792482.

It is a happy number.

28429712334720 is a `hidden beast` number, since 2 + 8 + 4 + 297 + 1 + 2 + 3 + 347 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 324203841 + ... + 324291519.

It is an arithmetic number, because the mean of its divisors is an integer number (262083767400).

Almost surely, 2^{28429712334720} is an apocalyptic number.

28429712334720 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 28429712334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50320083340800).

28429712334720 is an abundant number, since it is smaller than the sum of its proper divisors (72210454346880).

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

28429712334720 is a wasteful number, since it uses less digits than its factorization.

28429712334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89118 (or 89103 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 28429712334720 in words is "twenty-eight trillion, four hundred twenty-nine billion, seven hundred twelve million, three hundred thirty-four thousand, seven hundred twenty".