28429209169920 has 1664 divisors, whose sum is σ = 117229487155200. Its totient is φ = 6473040003072.

The previous prime is 28429209169909. The next prime is 28429209170003. The reversal of 28429209169920 is 2996190292482.

28429209169920 is a `hidden beast` number, since 2 + 8 + 429 + 20 + 9 + 169 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7210043469 + ... + 7210047411.

Almost surely, 2^{28429209169920} is an apocalyptic number.

28429209169920 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 28429209169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58614743577600).

28429209169920 is an abundant number, since it is smaller than the sum of its proper divisors (88800277985280).

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

28429209169920 is a wasteful number, since it uses less digits than its factorization.

28429209169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 28429209169920 in words is "twenty-eight trillion, four hundred twenty-nine billion, two hundred nine million, one hundred sixty-nine thousand, nine hundred twenty".