1412648328 has 256 divisors, whose sum is σ = 4660992000. Its totient is φ = 346374144.

The previous prime is 1412648327. The next prime is 1412648329. The reversal of 1412648328 is 8238462141.

It is an interprime number because it is at equal distance from previous prime (1412648327) and next prime (1412648329).

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is not an unprimeable number, because it can be changed into a prime (1412648323) 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, 2447976 + ... + 2448552.

It is an arithmetic number, because the mean of its divisors is an integer number (18207000).

Almost surely, 2^1412648328 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 1412648328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330496000).

1412648328 is an abundant number, since it is smaller than the sum of its proper divisors (3248343672).

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

1412648328 is a wasteful number, since it uses less digits than its factorization.

1412648328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 680 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 1412648328 is about 37585.2142204884. The cubic root of 1412648328 is about 1122.0477863233.

The spelling of 1412648328 in words is "one billion, four hundred twelve million, six hundred forty-eight thousand, three hundred twenty-eight".