846265728 has 128 divisors (see below), whose sum is σ = 2802666240. Its totient is φ = 219801600.

The previous prime is 846265727. The next prime is 846265753. The reversal of 846265728 is 827562648.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846265727) 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, 15258 + ... + 43878.

It is an arithmetic number, because the mean of its divisors is an integer number (21895830).

Almost surely, 2^846265728 is an apocalyptic number.

846265728 is a gapful number since it is divisible by the number (88) 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 846265728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401333120).

846265728 is an abundant number, since it is smaller than the sum of its proper divisors (1956400512).

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

846265728 is a wasteful number, since it uses less digits than its factorization.

846265728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28656 (or 28644 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 846265728 is about 29090.6467442716. The cubic root of 846265728 is about 945.8790018474.

The spelling of 846265728 in words is "eight hundred forty-six million, two hundred sixty-five thousand, seven hundred twenty-eight".