Search a number
-
+
28370946296 = 23721131212243
BaseRepresentation
bin11010011011000010…
…100100100011111000
32201020012221101210202
4122123002210203320
5431100430240141
621011115501332
72023026031100
oct323302444370
981205841722
1028370946296
1111039728960
1255b9457848
1328a1a28cb4
141531d50200
15b10adb49b
hex69b0a48f8

28370946296 has 96 divisors (see below), whose sum is σ = 69683950080. Its totient is φ = 10696996800.

The previous prime is 28370946283. The next prime is 28370946311. The reversal of 28370946296 is 69264907382.

It is a super-2 number, since 2×283709462962 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27551 + ... + 239793.

It is an arithmetic number, because the mean of its divisors is an integer number (725874480).

Almost surely, 228370946296 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 28370946296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34841975040).

28370946296 is an abundant number, since it is smaller than the sum of its proper divisors (41313003784).

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

28370946296 is a wasteful number, since it uses less digits than its factorization.

28370946296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212305 (or 212294 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 56.

The spelling of 28370946296 in words is "twenty-eight billion, three hundred seventy million, nine hundred forty-six thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 49 56 62 77 88 98 124 154 196 217 248 308 341 392 434 539 616 682 868 1078 1364 1519 1736 2156 2387 2728 3038 4312 4774 6076 9548 12152 16709 19096 33418 66836 133672 212243 424486 848972 1485701 1697944 2334673 2971402 4669346 5942804 6579533 9338692 10399907 11885608 13159066 16342711 18677384 20799814 26318132 32685422 41599628 46056731 52636264 65370844 72374863 83199256 92113462 114398977 130741688 144749726 184226924 228797954 289499452 322397117 368453848 457595908 506624041 578998904 644794234 915191816 1013248082 1289588468 2026496164 2579176936 3546368287 4052992328 7092736574 14185473148 28370946296