1628625182976 has 243 divisors, whose sum is σ = 5163556276333. Its totient is φ = 493318594560.

The previous prime is 1628625182957. The next prime is 1628625183011. The reversal of 1628625182976 is 6792815268261.

The square root of 1628625182976 is 1276176.

It is a perfect power (a square), and thus also a powerful number.

1628625182976 is a `hidden beast` number, since 1 + 6 + 28 + 6 + 2 + 518 + 2 + 97 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1585786118400 + 42839064576 = 1259280^2 + 206976^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 673819720 + ... + 673822136.

Almost surely, 2^{1628625182976} is an apocalyptic number.

1628625182976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1628625182976 is the 1276176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1628625182976

1628625182976 is an abundant number, since it is smaller than the sum of its proper divisors (3534931093357).

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

1628625182976 is an frugal number, since it uses more digits than its factorization.

1628625182976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4878 (or 2433 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 1628625182976 in words is "one trillion, six hundred twenty-eight billion, six hundred twenty-five million, one hundred eighty-two thousand, nine hundred seventy-six".