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28889568 = 2533291153
BaseRepresentation
bin110111000110…
…1000111100000
32000100202001000
41232031013200
524343431233
62511112000
7500362101
oct156150740
960322030
1028889568
1115342184
129812600
135ca6726
143ba03a8
152809d13
hex1b8d1e0

28889568 has 96 divisors (see below), whose sum is σ = 87242400. Its totient is φ = 9289728.

The previous prime is 28889533. The next prime is 28889569. The reversal of 28889568 is 86598882.

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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28889569) 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, 24480 + ... + 25632.

It is an arithmetic number, because the mean of its divisors is an integer number (908775).

Almost surely, 228889568 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 28889568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43621200).

28889568 is an abundant number, since it is smaller than the sum of its proper divisors (58352832).

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

28889568 is a wasteful number, since it uses less digits than its factorization.

28889568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1187 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 28889568 is about 5374.9016735192. The cubic root of 28889568 is about 306.8412070891.

The spelling of 28889568 in words is "twenty-eight million, eight hundred eighty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1153 1392 1566 2088 2306 2784 3132 3459 4176 4612 6264 6918 8352 9224 10377 12528 13836 18448 20754 25056 27672 31131 33437 36896 41508 55344 62262 66874 83016 100311 110688 124524 133748 166032 200622 249048 267496 300933 332064 401244 498096 534992 601866 802488 902799 996192 1069984 1203732 1604976 1805598 2407464 3209952 3611196 4814928 7222392 9629856 14444784 28889568