1282789872 has 400 divisors, whose sum is σ = 4663243200. Its totient is φ = 331444224.

The previous prime is 1282789867. The next prime is 1282789877. The reversal of 1282789872 is 2789872821.

It is an interprime number because it is at equal distance from previous prime (1282789867) and next prime (1282789877).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282789877) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8609254 + ... + 8609402.

It is an arithmetic number, because the mean of its divisors is an integer number (11658108).

Almost surely, 2^1282789872 is an apocalyptic number.

1282789872 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 1282789872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331621600).

1282789872 is an abundant number, since it is smaller than the sum of its proper divisors (3380453328).

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

1282789872 is a wasteful number, since it uses less digits than its factorization.

1282789872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 247 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The square root of 1282789872 is about 35816.0560642849. The cubic root of 1282789872 is about 1086.5553156422. Note that the first 3 decimals are identical.

The spelling of 1282789872 in words is "one billion, two hundred eighty-two million, seven hundred eighty-nine thousand, eight hundred seventy-two".