845728170 has 128 divisors (see below), whose sum is σ = 2432471040. Its totient is φ = 184345920.

The previous prime is 845728157. The next prime is 845728231. The reversal of 845728170 is 71827548.

It is a super-2 number, since 2×845728170² = 1430512275063097800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2554905 + ... + 2555235.

It is an arithmetic number, because the mean of its divisors is an integer number (19003680).

Almost surely, 2^845728170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845728170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216235520).

845728170 is an abundant number, since it is smaller than the sum of its proper divisors (1586742870).

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

845728170 is a wasteful number, since it uses less digits than its factorization.

845728170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 845728170 is about 29081.4059151204. The cubic root of 845728170 is about 945.6786815829.

The spelling of 845728170 in words is "eight hundred forty-five million, seven hundred twenty-eight thousand, one hundred seventy".