1628160148272 has 120 divisors (see below), whose sum is σ = 5105517440256. Its totient is φ = 444963007104.

The previous prime is 1628160148271. The next prime is 1628160148291. The reversal of 1628160148272 is 2728410618261.

It is a happy number.

It is a super-2 number, since 2×1628160148272² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1628160148271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14994708 + ... + 15102899.

Almost surely, 2^{1628160148272} is an apocalyptic number.

1628160148272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1628160148272 is an abundant number, since it is smaller than the sum of its proper divisors (3477357291984).

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

1628160148272 is a wasteful number, since it uses less digits than its factorization.

1628160148272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30097655 (or 30097642 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 1628160148272 in words is "one trillion, six hundred twenty-eight billion, one hundred sixty million, one hundred forty-eight thousand, two hundred seventy-two".