4167979728 has 80 divisors (see below), whose sum is σ = 11763532800. Its totient is φ = 1261152640.

The previous prime is 4167979727. The next prime is 4167979793. The reversal of 4167979728 is 8279797614.

4167979728 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4167979721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374143 + ... + 385121.

It is an arithmetic number, because the mean of its divisors is an integer number (147044160).

Almost surely, 2^4167979728 is an apocalyptic number.

4167979728 is a gapful number since it is divisible by the number (48) 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 4167979728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881766400).

4167979728 is an abundant number, since it is smaller than the sum of its proper divisors (7595553072).

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

4167979728 is a wasteful number, since it uses less digits than its factorization.

4167979728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11720 (or 11714 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 60.

The square root of 4167979728 is about 64559.8925649664. The cubic root of 4167979728 is about 1609.3179894936.

The spelling of 4167979728 in words is "four billion, one hundred sixty-seven million, nine hundred seventy-nine thousand, seven hundred twenty-eight".