28165313952 has 96 divisors (see below), whose sum is σ = 82220261760. Its totient is φ = 9380275200.

The previous prime is 28165313951. The next prime is 28165314013. The reversal of 28165313952 is 25931356182.

28165313952 is a `hidden beast` number, since 2 + 81 + 6 + 531 + 39 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 28165313898 and 28165313907.

It is not an unprimeable number, because it can be changed into a prime (28165313951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1024093 + ... + 1051235.

It is an arithmetic number, because the mean of its divisors is an integer number (856461060).

Almost surely, 2^28165313952 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 28165313952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41110130880).

28165313952 is an abundant number, since it is smaller than the sum of its proper divisors (54054947808).

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

28165313952 is a wasteful number, since it uses less digits than its factorization.

28165313952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28363 (or 28349 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

It can be divided in two parts, 28165313 and 952, that added together give a triangular number (28166265 = T₇₅₀₅).

The spelling of 28165313952 in words is "twenty-eight billion, one hundred sixty-five million, three hundred thirteen thousand, nine hundred fifty-two".