1427776128 has 384 divisors, whose sum is σ = 4655851200. Its totient is φ = 418037760.

The previous prime is 1427776117. The next prime is 1427776159. The reversal of 1427776128 is 8216777241.

1427776128 is a `hidden beast` number, since 1 + 4 + 27 + 7 + 7 + 612 + 8 = 666.

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

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, 33204075 + ... + 33204117.

Almost surely, 2^1427776128 is an apocalyptic number.

1427776128 is a gapful number since it is divisible by the number (18) 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 1427776128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327925600).

1427776128 is an abundant number, since it is smaller than the sum of its proper divisors (3228075072).

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

1427776128 is a wasteful number, since it uses less digits than its factorization.

1427776128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 1427776128 is about 37785.9249986023. The cubic root of 1427776128 is about 1126.0388436785.

The spelling of 1427776128 in words is "one billion, four hundred twenty-seven million, seven hundred seventy-six thousand, one hundred twenty-eight".