1382283672 has 192 divisors, whose sum is σ = 4426410240. Its totient is φ = 351985920.

The previous prime is 1382283541. The next prime is 1382283713. The reversal of 1382283672 is 2763822831.

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 a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076743 + ... + 1078025.

It is an arithmetic number, because the mean of its divisors is an integer number (23054220).

Almost surely, 2^1382283672 is an apocalyptic number.

1382283672 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 1382283672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213205120).

1382283672 is an abundant number, since it is smaller than the sum of its proper divisors (3044126568).

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

1382283672 is a wasteful number, since it uses less digits than its factorization.

1382283672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1359 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 1382283672 is about 37179.0757281566. The cubic root of 1382283672 is about 1113.9500722724.

The spelling of 1382283672 in words is "one billion, three hundred eighty-two million, two hundred eighty-three thousand, six hundred seventy-two".