428064296352 has 384 divisors, whose sum is σ = 1504790784000. Its totient is φ = 105331968000.

The previous prime is 428064296347. The next prime is 428064296353. The reversal of 428064296352 is 253692460824.

It is a super-2 number, since 2×428064296352² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 428064296295 and 428064296304.

It is not an unprimeable number, because it can be changed into a prime (428064296353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6850852 + ... + 6913052.

It is an arithmetic number, because the mean of its divisors is an integer number (3918726000).

Almost surely, 2^428064296352 is an apocalyptic number.

428064296352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428064296352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752395392000).

428064296352 is an abundant number, since it is smaller than the sum of its proper divisors (1076726487648).

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

428064296352 is a wasteful number, since it uses less digits than its factorization.

428064296352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62265 (or 62243 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 428064296352 in words is "four hundred twenty-eight billion, sixty-four million, two hundred ninety-six thousand, three hundred fifty-two".