1386828972 has 96 divisors (see below), whose sum is σ = 3657830400. Its totient is φ = 454329216.

The previous prime is 1386828967. The next prime is 1386828983. The reversal of 1386828972 is 2798286831.

It is a happy number.

It is a super-3 number, since 3×1386828972³ (a number of 28 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2143153 + ... + 2143799.

It is an arithmetic number, because the mean of its divisors is an integer number (38102400).

Almost surely, 2^1386828972 is an apocalyptic number.

1386828972 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 1386828972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828915200).

1386828972 is an abundant number, since it is smaller than the sum of its proper divisors (2271001428).

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

1386828972 is a wasteful number, since it uses less digits than its factorization.

1386828972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 964 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 1386828972 is about 37240.1526849716. The cubic root of 1386828972 is about 1115.1697200541.

The spelling of 1386828972 in words is "one billion, three hundred eighty-six million, eight hundred twenty-eight thousand, nine hundred seventy-two".