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28649568 = 25319113139
BaseRepresentation
bin110110101001…
…0100001100000
31222220112211010
41231102201200
524313241233
62502020520
7465342303
oct155224140
958815733
1028649568
1115198932
129717740
135c2140c
143b3ab3a
1527adb63
hex1b52860

28649568 has 96 divisors (see below), whose sum is σ = 80438400. Its totient is φ = 8902656.

The previous prime is 28649563. The next prime is 28649597. The reversal of 28649568 is 86594682.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28649561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206043 + ... + 206181.

It is an arithmetic number, because the mean of its divisors is an integer number (837900).

Almost surely, 228649568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28649568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40219200).

28649568 is an abundant number, since it is smaller than the sum of its proper divisors (51788832).

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

28649568 is a wasteful number, since it uses less digits than its factorization.

28649568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 28649568 is about 5352.5291218264. The cubic root of 28649568 is about 305.9891490877.

The spelling of 28649568 in words is "twenty-eight million, six hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 113 114 139 152 226 228 278 304 339 417 452 456 556 608 678 834 904 912 1112 1356 1668 1808 1824 2147 2224 2641 2712 3336 3616 4294 4448 5282 5424 6441 6672 7923 8588 10564 10848 12882 13344 15707 15846 17176 21128 25764 31414 31692 34352 42256 47121 51528 62828 63384 68704 84512 94242 103056 125656 126768 188484 206112 251312 253536 298433 376968 502624 596866 753936 895299 1193732 1507872 1790598 2387464 3581196 4774928 7162392 9549856 14324784 28649568