1958628672 has 672 divisors, whose sum is σ = 7810682880. Its totient is φ = 452874240.

The previous prime is 1958628647. The next prime is 1958628713. The reversal of 1958628672 is 2768268591.

1958628672 is a `hidden beast` number, since 1 + 9 + 5 + 8 + 628 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24792729 + ... + 24792807.

It is an arithmetic number, because the mean of its divisors is an integer number (11623040).

Almost surely, 2^1958628672 is an apocalyptic number.

1958628672 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 1958628672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905341440).

1958628672 is an abundant number, since it is smaller than the sum of its proper divisors (5852054208).

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

1958628672 is a wasteful number, since it uses less digits than its factorization.

1958628672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 158 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 1958628672 is about 44256.3969613433. The cubic root of 1958628672 is about 1251.1730155766.

The spelling of 1958628672 in words is "one billion, nine hundred fifty-eight million, six hundred twenty-eight thousand, six hundred seventy-two".