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28466928 = 2432731911
BaseRepresentation
bin110110010010…
…1111011110000
31222120021021200
41230211323300
524241420203
62454051200
7463651650
oct154457360
958507250
1028466928
1115083696
129649b00
135b89249
143ad0360
1527749a3
hex1b25ef0

28466928 has 120 divisors (see below), whose sum is σ = 94089216. Its totient is φ = 7862400.

The previous prime is 28466899. The next prime is 28466929. The reversal of 28466928 is 82966482.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28466929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30793 + ... + 31703.

Almost surely, 228466928 is an apocalyptic number.

28466928 is a gapful number since it is divisible by the number (28) 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 28466928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47044608).

28466928 is an abundant number, since it is smaller than the sum of its proper divisors (65622288).

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

28466928 is a wasteful number, since it uses less digits than its factorization.

28466928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 954 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 28466928 is about 5335.4407503036. The cubic root of 28466928 is about 305.3375390601.

The spelling of 28466928 in words is "twenty-eight million, four hundred sixty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 911 1008 1116 1302 1488 1736 1822 1953 2232 2604 2733 3472 3644 3906 4464 5208 5466 6377 7288 7812 8199 10416 10932 12754 14576 15624 16398 19131 21864 25508 28241 31248 32796 38262 43728 51016 56482 57393 65592 76524 84723 102032 112964 114786 131184 153048 169446 197687 225928 229572 254169 306096 338892 395374 451856 459144 508338 593061 677784 790748 918288 1016676 1186122 1355568 1581496 1779183 2033352 2372244 3162992 3558366 4066704 4744488 7116732 9488976 14233464 28466928