428072173056 has 640 divisors, whose sum is σ = 1448135884800. Its totient is φ = 123669504000.

The previous prime is 428072173043. The next prime is 428072173117. The reversal of 428072173056 is 650371270824.

428072173056 is a `hidden beast` number, since 428 + 0 + 7 + 2 + 173 + 0 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 334692225 + ... + 334693503.

It is an arithmetic number, because the mean of its divisors is an integer number (2262712320).

Almost surely, 2^428072173056 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 428072173056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724067942400).

428072173056 is an abundant number, since it is smaller than the sum of its proper divisors (1020063711744).

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

428072173056 is a wasteful number, since it uses less digits than its factorization.

428072173056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 428072173056 in words is "four hundred twenty-eight billion, seventy-two million, one hundred seventy-three thousand, fifty-six".