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28311920 = 2457133889
BaseRepresentation
bin110110000000…
…0000101110000
31222021101122122
41230000011300
524221440140
62450453412
7462435020
oct154000560
958241578
1028311920
1114a8818a
129594268
135b33820
143a8da80
152743ab5
hex1b00170

28311920 has 80 divisors (see below), whose sum is σ = 81036480. Its totient is φ = 8957952.

The previous prime is 28311901. The next prime is 28311947. The reversal of 28311920 is 2911382.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 28311920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5336 + ... + 9224.

It is an arithmetic number, because the mean of its divisors is an integer number (1012956).

Almost surely, 228311920 is an apocalyptic number.

28311920 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 28311920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40518240).

28311920 is an abundant number, since it is smaller than the sum of its proper divisors (52724560).

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

28311920 is a wasteful number, since it uses less digits than its factorization.

28311920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3922 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 28311920 is about 5320.8946616147. The cubic root of 28311920 is about 304.7823225098.

The spelling of 28311920 in words is "twenty-eight million, three hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 3889 7280 7778 15556 19445 27223 31112 38890 50557 54446 62224 77780 101114 108892 136115 155560 202228 217784 252785 272230 311120 353899 404456 435568 505570 544460 707798 808912 1011140 1088920 1415596 1769495 2022280 2177840 2831192 3538990 4044560 5662384 7077980 14155960 28311920