972420228 has 240 divisors, whose sum is σ = 2988216000. Its totient is φ = 273030912.

The previous prime is 972420227. The next prime is 972420263. The reversal of 972420228 is 822024279.

It is a happy number.

972420228 is a `hidden beast` number, since 9 + 7 + 2 + 420 + 228 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 972420192 and 972420201.

It is not an unprimeable number, because it can be changed into a prime (972420221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2320603 + ... + 2321021.

It is an arithmetic number, because the mean of its divisors is an integer number (12450900).

Almost surely, 2^972420228 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 972420228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494108000).

972420228 is an abundant number, since it is smaller than the sum of its proper divisors (2015795772).

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

972420228 is a wasteful number, since it uses less digits than its factorization.

972420228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 972420228 is about 31183.6532176716. The cubic root of 972420228 is about 990.7209074224.

The spelling of 972420228 in words is "nine hundred seventy-two million, four hundred twenty thousand, two hundred twenty-eight".