428120795193600 has 432 divisors, whose sum is σ = 1415769880178304. Its totient is φ = 113932836864000.

The previous prime is 428120795193593. The next prime is 428120795193629. The reversal of 428120795193600 is 6391597021824.

It is a super-2 number, since 2×428120795193600² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31899314890 + ... + 31899328310.

It is a 2-persistent number, because it is pandigital, and so is 2⋅428120795193600 = 856241590387200, but 3⋅428120795193600 = 1284362385580800 is not.

Almost surely, 2^{428120795193600} is an apocalyptic number.

428120795193600 is a gapful number since it is divisible by the number (40) 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 428120795193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707884940089152).

428120795193600 is an abundant number, since it is smaller than the sum of its proper divisors (987649084984704).

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

428120795193600 is a wasteful number, since it uses less digits than its factorization.

428120795193600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16714 (or 16695 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 428120795193600 in words is "four hundred twenty-eight trillion, one hundred twenty billion, seven hundred ninety-five million, one hundred ninety-three thousand, six hundred".