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398690028 = 22321129149233
BaseRepresentation
bin10111110000111…
…000011011101100
31000210012112220100
4113300320123230
51304031040103
6103321151100
712610544412
oct2760703354
91023175810
10398690028
111950607a0
12b162b490
13647a3279
143ad432b2
15250055a3
hex17c386ec

398690028 has 144 divisors (see below), whose sum is σ = 1149876000. Its totient is φ = 115368960.

The previous prime is 398690021. The next prime is 398690041. The reversal of 398690028 is 820096893.

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 not an unprimeable number, because it can be changed into a prime (398690021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1711000 + ... + 1711232.

It is an arithmetic number, because the mean of its divisors is an integer number (7985250).

Almost surely, 2398690028 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 398690028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574938000).

398690028 is an abundant number, since it is smaller than the sum of its proper divisors (751185972).

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

398690028 is a wasteful number, since it uses less digits than its factorization.

398690028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 398690028 is about 19967.2238430885. The cubic root of 398690028 is about 736.0010904009.

The spelling of 398690028 in words is "three hundred ninety-eight million, six hundred ninety thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 149 174 198 233 261 298 319 348 396 447 466 522 596 638 699 894 932 957 1044 1276 1341 1398 1639 1788 1914 2097 2563 2682 2796 2871 3278 3828 4194 4321 4917 5126 5364 5742 6556 6757 7689 8388 8642 9834 10252 11484 12963 13514 14751 15378 17284 19668 20271 23067 25926 27028 29502 30756 34717 38889 40542 46134 47531 51852 59004 60813 69434 74327 77778 81084 92268 95062 104151 121626 138868 142593 148654 155556 190124 208302 222981 243252 285186 297308 312453 381887 416604 427779 445962 570372 624906 668943 763774 855558 891924 1006793 1145661 1249812 1337886 1527548 1711116 2013586 2291322 2675772 3020379 3436983 4027172 4582644 6040758 6873966 9061137 11074723 12081516 13747932 18122274 22149446 33224169 36244548 44298892 66448338 99672507 132896676 199345014 398690028