428261769216 has 380 divisors, whose sum is σ = 1300240148592. Its totient is φ = 141033996288.

The previous prime is 428261769203. The next prime is 428261769283. The reversal of 428261769216 is 612967162824.

428261769216 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 617 + 6 + 9 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5159780311 + ... + 5159780393.

Almost surely, 2^428261769216 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 428261769216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650120074296).

428261769216 is an abundant number, since it is smaller than the sum of its proper divisors (871978379376).

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

428261769216 is an frugal number, since it uses more digits than its factorization.

428261769216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 88 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 428261769216 in words is "four hundred twenty-eight billion, two hundred sixty-one million, seven hundred sixty-nine thousand, two hundred sixteen".