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728870172 = 2231719474001
BaseRepresentation
bin101011011100011…
…010110100011100
31212210111102220120
4223130122310130
52443042321142
6200154114540
724030202632
oct5334326434
91783442816
10728870172
11344478a48
1218411ba50
13b800a034
146cb31352
1543ec67ec
hex2b71ad1c

728870172 has 96 divisors (see below), whose sum is σ = 1936327680. Its totient is φ = 211968000.

The previous prime is 728870159. The next prime is 728870173. The reversal of 728870172 is 271078827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728870173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180172 + ... + 184172.

It is an arithmetic number, because the mean of its divisors is an integer number (20170080).

Almost surely, 2728870172 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 728870172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968163840).

728870172 is an abundant number, since it is smaller than the sum of its proper divisors (1207457508).

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

728870172 is a wasteful number, since it uses less digits than its factorization.

728870172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4091 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 42.

The square root of 728870172 is about 26997.5956707259. The cubic root of 728870172 is about 899.9465696676.

The spelling of 728870172 in words is "seven hundred twenty-eight million, eight hundred seventy thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 47 51 57 68 76 94 102 114 141 188 204 228 282 323 564 646 799 893 969 1292 1598 1786 1938 2397 2679 3196 3572 3876 4001 4794 5358 8002 9588 10716 12003 15181 16004 24006 30362 45543 48012 60724 68017 76019 91086 136034 152038 182172 188047 204051 228057 272068 304076 376094 408102 456114 564141 752188 816204 912228 1128282 1292323 2256564 2584646 3196799 3572893 3876969 5169292 6393598 7145786 7753938 9590397 10718679 12787196 14291572 15507876 19180794 21437358 38361588 42874716 60739181 121478362 182217543 242956724 364435086 728870172