428691174912 has 2160 divisors, whose sum is σ = 1829272981536. Its totient is φ = 95374540800.

The previous prime is 428691174851. The next prime is 428691174913. The reversal of 428691174912 is 219471196824.

428691174912 is a `hidden beast` number, since 428 + 69 + 1 + 1 + 74 + 91 + 2 = 666.

It is a super-2 number, since 2×428691174912² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428691174913) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6037903837 + ... + 6037903907.

Almost surely, 2^428691174912 is an apocalyptic number.

428691174912 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 428691174912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914636490768).

428691174912 is an abundant number, since it is smaller than the sum of its proper divisors (1400581806624).

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

428691174912 is a wasteful number, since it uses less digits than its factorization.

428691174912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 124 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 428691174912 in words is "four hundred twenty-eight billion, six hundred ninety-one million, one hundred seventy-four thousand, nine hundred twelve".