1427826288 has 240 divisors, whose sum is σ = 4580064000. Its totient is φ = 381072384.

The previous prime is 1427826287. The next prime is 1427826289. The reversal of 1427826288 is 8826287241.

It is an interprime number because it is at equal distance from previous prime (1427826287) and next prime (1427826289).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427826287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3977053 + ... + 3977411.

It is an arithmetic number, because the mean of its divisors is an integer number (19083600).

Almost surely, 2^1427826288 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 1427826288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290032000).

1427826288 is an abundant number, since it is smaller than the sum of its proper divisors (3152237712).

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

1427826288 is a wasteful number, since it uses less digits than its factorization.

1427826288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 479 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The square root of 1427826288 is about 37786.5887319827. The cubic root of 1427826288 is about 1126.0520300238.

The spelling of 1427826288 in words is "one billion, four hundred twenty-seven million, eight hundred twenty-six thousand, two hundred eighty-eight".