428215269272 has 192 divisors, whose sum is σ = 1013469667200. Its totient is φ = 168727587840.

The previous prime is 428215269271. The next prime is 428215269283. The reversal of 428215269272 is 272962512824.

It is a super-3 number, since 3×428215269272³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 428215269272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428215269271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19758122 + ... + 19779782.

It is an arithmetic number, because the mean of its divisors is an integer number (5278487850).

Almost surely, 2^428215269272 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 428215269272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506734833600).

428215269272 is an abundant number, since it is smaller than the sum of its proper divisors (585254397928).

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

428215269272 is a wasteful number, since it uses less digits than its factorization.

428215269272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21794 (or 21783 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 50.

The spelling of 428215269272 in words is "four hundred twenty-eight billion, two hundred fifteen million, two hundred sixty-nine thousand, two hundred seventy-two".