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28364172420 = 223519247310061
BaseRepresentation
bin11010011010101000…
…101110110010000100
32201012202012020210110
4122122220232302010
5431042212004140
621010314353020
72022614326143
oct323250566204
981182166713
1028364172420
1111035921611
1255b712b770
1328a04c699c
1415310a975a
15b101ee380
hex69aa2ec84

28364172420 has 96 divisors (see below), whose sum is σ = 83641783680. Its totient is φ = 7162076160.

The previous prime is 28364172407. The next prime is 28364172433. The reversal of 28364172420 is 2427146382.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28364172407) and next prime (28364172433).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2814190 + ... + 2824250.

It is an arithmetic number, because the mean of its divisors is an integer number (871268580).

Almost surely, 228364172420 is an apocalyptic number.

28364172420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28364172420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41820891840).

28364172420 is an abundant number, since it is smaller than the sum of its proper divisors (55277611260).

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

28364172420 is a wasteful number, since it uses less digits than its factorization.

28364172420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12565 (or 12563 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 28364172420 in words is "twenty-eight billion, three hundred sixty-four million, one hundred seventy-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 2473 4946 7419 9892 10061 12365 14838 20122 24730 29676 30183 37095 40244 46987 49460 50305 60366 74190 93974 100610 120732 140961 148380 150915 187948 191159 201220 234935 281922 301830 382318 469870 563844 573477 603660 704805 764636 939740 955795 1146954 1409610 1911590 2293908 2819220 2867385 3823180 5734770 11469540 24880853 49761706 74642559 99523412 124404265 149285118 248808530 298570236 373212795 472736207 497617060 746425590 945472414 1418208621 1492851180 1890944828 2363681035 2836417242 4727362070 5672834484 7091043105 9454724140 14182086210 28364172420