428410116362844 has 192 divisors, whose sum is σ = 1385038897643520. Its totient is φ = 111252941242560.

The previous prime is 428410116362821. The next prime is 428410116362903. The reversal of 428410116362844 is 448263611014824.

428410116362844 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 1 + 0 + 1 + 1 + 6 + 3 + 628 + 4 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36119709 + ... + 46491435.

It is an arithmetic number, because the mean of its divisors is an integer number (7213744258560).

Almost surely, 2^{428410116362844} is an apocalyptic number.

428410116362844 is a gapful number since it is divisible by the number (44) 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 428410116362844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692519448821760).

428410116362844 is an abundant number, since it is smaller than the sum of its proper divisors (956628781280676).

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

428410116362844 is a wasteful number, since it uses less digits than its factorization.

428410116362844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10376725 (or 10376717 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 428410116362844 in words is "four hundred twenty-eight trillion, four hundred ten billion, one hundred sixteen million, three hundred sixty-two thousand, eight hundred forty-four".