1427787648 has 320 divisors, whose sum is σ = 4928901120. Its totient is φ = 401863680.

The previous prime is 1427787607. The next prime is 1427787659. The reversal of 1427787648 is 8467877241.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1427787594 and 1427787603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7475233 + ... + 7475423.

It is an arithmetic number, because the mean of its divisors is an integer number (15402816).

Almost surely, 2^1427787648 is an apocalyptic number.

1427787648 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 1427787648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464450560).

1427787648 is an abundant number, since it is smaller than the sum of its proper divisors (3501113472).

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

1427787648 is a wasteful number, since it uses less digits than its factorization.

1427787648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 306 counting only the distinct ones).

The product of its digits is 4214784, while the sum is 54.

The square root of 1427787648 is about 37786.0774360081. The cubic root of 1427787648 is about 1126.0418721487.

It can be divided in two parts, 142778 and 7648, that added together give a triangular number (150426 = T₅₄₈).

The spelling of 1427787648 in words is "one billion, four hundred twenty-seven million, seven hundred eighty-seven thousand, six hundred forty-eight".