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28421640 = 23325136073
BaseRepresentation
bin110110001101…
…0111000001000
31222110222011100
41230122320020
524233443030
62453101400
7463402632
oct154327010
958428140
1028421640
1115052665
129627860
135b71750
143abba52
152766360
hex1b1ae08

28421640 has 96 divisors (see below), whose sum is σ = 99492120. Its totient is φ = 6994944.

The previous prime is 28421639. The next prime is 28421681. The reversal of 28421640 is 4612482.

It can be written as a sum of positive squares in 4 ways, for example, as 23677956 + 4743684 = 4866^2 + 2178^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1644 + ... + 7716.

Almost surely, 228421640 is an apocalyptic number.

28421640 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 28421640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49746060).

28421640 is an abundant number, since it is smaller than the sum of its proper divisors (71070480).

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

28421640 is a wasteful number, since it uses less digits than its factorization.

28421640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6103 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 28421640 is about 5331.1949879928. The cubic root of 28421640 is about 305.1755327487.

The spelling of 28421640 in words is "twenty-eight million, four hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 6073 12146 18219 24292 30365 36438 48584 54657 60730 72876 78949 91095 109314 121460 145752 157898 182190 218628 236847 242920 273285 315796 364380 394745 437256 473694 546570 631592 710541 728760 789490 947388 1093140 1184235 1421082 1578980 1894776 2186280 2368470 2842164 3157960 3552705 4736940 5684328 7105410 9473880 14210820 28421640