867241728 has 144 divisors (see below), whose sum is σ = 2597924000. Its totient is φ = 288893952.

The previous prime is 867241693. The next prime is 867241729. The reversal of 867241728 is 827142768.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867241729) 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, 559098 + ... + 560646.

Almost surely, 2^867241728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298962000).

867241728 is an abundant number, since it is smaller than the sum of its proper divisors (1730682272).

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

867241728 is an frugal number, since it uses more digits than its factorization.

867241728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1554 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 867241728 is about 29448.9681992426. The cubic root of 867241728 is about 953.6303302516.

The spelling of 867241728 in words is "eight hundred sixty-seven million, two hundred forty-one thousand, seven hundred twenty-eight".