9973820628 has 60 divisors (see below), whose sum is σ = 26083192212. Its totient is φ = 3323376000.

The previous prime is 9973820617. The next prime is 9973820629. The reversal of 9973820628 is 8260283799.

It is a happy number.

9973820628 is a `hidden beast` number, since 9 + 9 + 7 + 3 + 8 + 2 + 0 + 628 = 666.

9973820628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4498116624 + 5475704004 = 67068^2 + 73998^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9973820629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1421128 + ... + 1428128.

Almost surely, 2^9973820628 is an apocalyptic number.

It is an amenable number.

9973820628 is an abundant number, since it is smaller than the sum of its proper divisors (16109371584).

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

9973820628 is a wasteful number, since it uses less digits than its factorization.

9973820628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11414 (or 11403 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9973820628 is about 99869.0173577371. The cubic root of 9973820628 is about 2152.5529887768.

The spelling of 9973820628 in words is "nine billion, nine hundred seventy-three million, eight hundred twenty thousand, six hundred twenty-eight".