4679928100 has 27 divisors (see below), whose sum is σ = 10156928691. Its totient is φ = 1871697600.

The previous prime is 4679928089. The next prime is 4679928101. The reversal of 4679928100 is 18299764.

The square root of 4679928100 is 68410.

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

It can be written as a sum of positive squares in 4 ways, for example, as 78747876 + 4601180224 = 8874^2 + 67832^2 .

It is a super-2 number, since 2×4679928100² = 43803454042339220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4679928101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 680680 + ... + 687520.

Almost surely, 2^4679928100 is an apocalyptic number.

4679928100 is the 68410-th square number.

It is an amenable number.

4679928100 is an abundant number, since it is smaller than the sum of its proper divisors (5477000591).

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

4679928100 is an frugal number, since it uses more digits than its factorization.

4679928100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13696 (or 6848 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The cubic root of 4679928100 is about 1672.6807554498.

The spelling of 4679928100 in words is "four billion, six hundred seventy-nine million, nine hundred twenty-eight thousand, one hundred".