1428717312 has 576 divisors, whose sum is σ = 5180313600. Its totient is φ = 383201280.

The previous prime is 1428717307. The next prime is 1428717317. The reversal of 1428717312 is 2137178241.

It is an interprime number because it is at equal distance from previous prime (1428717307) and next prime (1428717317).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428717317) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 33225963 + ... + 33226005.

It is an arithmetic number, because the mean of its divisors is an integer number (8993600).

Almost surely, 2^1428717312 is an apocalyptic number.

1428717312 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 1428717312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590156800).

1428717312 is an abundant number, since it is smaller than the sum of its proper divisors (3751596288).

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

1428717312 is a wasteful number, since it uses less digits than its factorization.

1428717312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 1428717312 is about 37798.3771080188. The cubic root of 1428717312 is about 1126.2862160159.

It can be divided in two parts, 14287173 and 12, that added together give a triangular number (14287185 = T₅₃₄₅).

The spelling of 1428717312 in words is "one billion, four hundred twenty-eight million, seven hundred seventeen thousand, three hundred twelve".