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28621840 = 2451322973
BaseRepresentation
bin110110100101…
…1110000010000
31222212010210011
41231023300100
524311344330
62501244304
7465165412
oct155136020
958763704
1028621840
111517a015
129703694
135c11900
143b309b2
1527a582a
hex1b4bc10

28621840 has 120 divisors (see below), whose sum is σ = 75564360. Its totient is φ = 10063872.

The previous prime is 28621837. The next prime is 28621841. The reversal of 28621840 is 4812682.

It can be written as a sum of positive squares in 12 ways, for example, as 14961424 + 13660416 = 3868^2 + 3696^2 .

It is not an unprimeable number, because it can be changed into a prime (28621841) by changing a digit.

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, 392044 + ... + 392116.

It is an arithmetic number, because the mean of its divisors is an integer number (629703).

Almost surely, 228621840 is an apocalyptic number.

28621840 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 28621840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37782180).

28621840 is an abundant number, since it is smaller than the sum of its proper divisors (46942520).

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

28621840 is a wasteful number, since it uses less digits than its factorization.

28621840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 28621840 is about 5349.9383174014. The cubic root of 28621840 is about 305.8904017490.

The spelling of 28621840 in words is "twenty-eight million, six hundred twenty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 73 80 104 116 130 145 146 169 208 232 260 290 292 338 365 377 464 520 580 584 676 730 754 845 949 1040 1160 1168 1352 1460 1508 1690 1885 1898 2117 2320 2704 2920 3016 3380 3770 3796 4234 4745 4901 5840 6032 6760 7540 7592 8468 9490 9802 10585 12337 13520 15080 15184 16936 18980 19604 21170 24505 24674 27521 30160 33872 37960 39208 42340 49010 49348 55042 61685 75920 78416 84680 98020 98696 110084 123370 137605 169360 196040 197392 220168 246740 275210 357773 392080 440336 493480 550420 715546 986960 1100840 1431092 1788865 2201680 2862184 3577730 5724368 7155460 14310920 28621840