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8728398 = 234743179
BaseRepresentation
bin100001010010…
…111101001110
3121102110010000
4201102331032
54213302043
6511025130
7134122140
oct41227516
917373100
108728398
114a21858
122b0b1a6
131a67b43
141232c90
15b762d3
hex852f4e

8728398 has 80 divisors (see below), whose sum is σ = 22999680. Its totient is φ = 2422224.

The previous prime is 8728397. The next prime is 8728427. The reversal of 8728398 is 8938278.

8728398 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 Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8728397) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48673 + ... + 48851.

It is an arithmetic number, because the mean of its divisors is an integer number (287496).

Almost surely, 28728398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8728398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11499840).

8728398 is an abundant number, since it is smaller than the sum of its proper divisors (14271282).

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

8728398 is a wasteful number, since it uses less digits than its factorization.

8728398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 234 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 8728398 is about 2954.3862306747. The cubic root of 8728398 is about 205.8945480955.

The spelling of 8728398 in words is "eight million, seven hundred twenty-eight thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 81 86 126 129 162 179 189 258 301 358 378 387 537 567 602 774 903 1074 1134 1161 1253 1611 1806 2322 2506 2709 3222 3483 3759 4833 5418 6966 7518 7697 8127 9666 11277 14499 15394 16254 22554 23091 24381 28998 33831 46182 48762 53879 67662 69273 101493 107758 138546 161637 202986 207819 323274 415638 484911 623457 969822 1246914 1454733 2909466 4364199 8728398