427834009728 has 384 divisors, whose sum is σ = 1340076326400. Its totient is φ = 134234910720.

The previous prime is 427834009679. The next prime is 427834009739. The reversal of 427834009728 is 827900438724.

It is a happy number.

427834009728 is a `hidden beast` number, since 4 + 278 + 340 + 0 + 9 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146667726 + ... + 146670642.

It is an arithmetic number, because the mean of its divisors is an integer number (3489782100).

Almost surely, 2^427834009728 is an apocalyptic number.

427834009728 is a gapful number since it is divisible by the number (48) 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 427834009728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670038163200).

427834009728 is an abundant number, since it is smaller than the sum of its proper divisors (912242316672).

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

427834009728 is a wasteful number, since it uses less digits than its factorization.

427834009728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 427834009728 in words is "four hundred twenty-seven billion, eight hundred thirty-four million, nine thousand, seven hundred twenty-eight".