1427791872 has 224 divisors, whose sum is σ = 4238609760. Its totient is φ = 424673280.

The previous prime is 1427791819. The next prime is 1427791873. The reversal of 1427791872 is 2781977241.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

Its product of digits (395136) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427791873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13098954 + ... + 13099062.

It is an arithmetic number, because the mean of its divisors is an integer number (18922365).

Almost surely, 2^1427791872 is an apocalyptic number.

1427791872 is a gapful number since it is divisible by the number (12) 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 1427791872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119304880).

1427791872 is an abundant number, since it is smaller than the sum of its proper divisors (2810817888).

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

1427791872 is a wasteful number, since it uses less digits than its factorization.

1427791872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its digits is 395136, while the sum is 48.

The square root of 1427791872 is about 37786.1333295695. The cubic root of 1427791872 is about 1126.0429825837.

The spelling of 1427791872 in words is "one billion, four hundred twenty-seven million, seven hundred ninety-one thousand, eight hundred seventy-two".