1285348272 has 80 divisors (see below), whose sum is σ = 3587874528. Its totient is φ = 394168320.

The previous prime is 1285348247. The next prime is 1285348297. The reversal of 1285348272 is 2728435821.

It is an interprime number because it is at equal distance from previous prime (1285348247) and next prime (1285348297).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192022 + ... + 198602.

Almost surely, 2^1285348272 is an apocalyptic number.

1285348272 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 1285348272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793937264).

1285348272 is an abundant number, since it is smaller than the sum of its proper divisors (2302526256).

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

1285348272 is a wasteful number, since it uses less digits than its factorization.

1285348272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6918 (or 6912 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 1285348272 is about 35851.7540993464. The cubic root of 1285348272 is about 1087.2771790283.

The spelling of 1285348272 in words is "one billion, two hundred eighty-five million, three hundred forty-eight thousand, two hundred seventy-two".