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28658688 = 210319491
BaseRepresentation
bin110110101010…
…0110000000000
31222221000022220
41231110300000
524314034223
62502131040
7465411012
oct155246000
958830286
1028658688
11151a4773
129720a80
135c25606
143b401b2
1527b16e3
hex1b54c00

28658688 has 88 divisors (see below), whose sum is σ = 80569920. Its totient is φ = 9031680.

The previous prime is 28658687. The next prime is 28658689. The reversal of 28658688 is 88685682.

It is an interprime number because it is at equal distance from previous prime (28658687) and next prime (28658689).

It is a self number, because there is not a number n which added to its sum of digits gives 28658688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28658681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58123 + ... + 58613.

Almost surely, 228658688 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 28658688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40284960).

28658688 is an abundant number, since it is smaller than the sum of its proper divisors (51911232).

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

28658688 is a wasteful number, since it uses less digits than its factorization.

28658688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 515 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 51.

The square root of 28658688 is about 5353.3809877497. The cubic root of 28658688 is about 306.0216140912.

The spelling of 28658688 in words is "twenty-eight million, six hundred fifty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 491 512 608 768 912 982 1024 1216 1473 1536 1824 1964 2432 2946 3072 3648 3928 4864 5892 7296 7856 9329 9728 11784 14592 15712 18658 19456 23568 27987 29184 31424 37316 47136 55974 58368 62848 74632 94272 111948 125696 149264 188544 223896 251392 298528 377088 447792 502784 597056 754176 895584 1194112 1508352 1791168 2388224 3582336 4776448 7164672 9552896 14329344 28658688