979285272 has 128 divisors (see below), whose sum is σ = 2992204800. Its totient is φ = 260702208.

The previous prime is 979285259. The next prime is 979285273. The reversal of 979285272 is 272582979.

It is a super-3 number, since 3×979285272³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (979285273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292504 + ... + 295832.

It is an arithmetic number, because the mean of its divisors is an integer number (23376600).

Almost surely, 2^979285272 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 979285272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496102400).

979285272 is an abundant number, since it is smaller than the sum of its proper divisors (2012919528).

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

979285272 is a wasteful number, since it uses less digits than its factorization.

979285272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3465 (or 3461 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The square root of 979285272 is about 31293.5340286136. The cubic root of 979285272 is about 993.0468565150.

The spelling of 979285272 in words is "nine hundred seventy-nine million, two hundred eighty-five thousand, two hundred seventy-two".