28429270272 has 576 divisors, whose sum is σ = 98649653760. Its totient is φ = 7994474496.

The previous prime is 28429270249. The next prime is 28429270283. The reversal of 28429270272 is 27207292482.

28429270272 is a `hidden beast` number, since 28 + 4 + 292 + 70 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56519173 + ... + 56519675.

It is an arithmetic number, because the mean of its divisors is an integer number (171266760).

Almost surely, 2^28429270272 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 28429270272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49324826880).

28429270272 is an abundant number, since it is smaller than the sum of its proper divisors (70220383488).

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

28429270272 is a wasteful number, since it uses less digits than its factorization.

28429270272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 28429270272 in words is "twenty-eight billion, four hundred twenty-nine million, two hundred seventy thousand, two hundred seventy-two".