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28148688 = 2433232833
BaseRepresentation
bin110101101100…
…0001111010000
31221222002202000
41223120033100
524201224223
62443154000
7461155101
oct153301720
957862660
1028148688
1114986587
129515900
135aa7439
143a4a3a8
152710543
hex1ad83d0

28148688 has 80 divisors (see below), whose sum is σ = 84339840. Its totient is φ = 8971776.

The previous prime is 28148677. The next prime is 28148689. The reversal of 28148688 is 88684182.

It is a happy number.

It is a super-2 number, since 2×281486882 = 1584697272242688, which contains 22 as substring.

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 (28148689) 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, 8520 + ... + 11352.

It is an arithmetic number, because the mean of its divisors is an integer number (1054248).

Almost surely, 228148688 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 28148688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42169920).

28148688 is an abundant number, since it is smaller than the sum of its proper divisors (56191152).

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

28148688 is a wasteful number, since it uses less digits than its factorization.

28148688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873 (or 2861 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 28148688 is about 5305.5337149056. The cubic root of 28148688 is about 304.1954537171.

The spelling of 28148688 in words is "twenty-eight million, one hundred forty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 2833 3312 4968 5666 8499 9936 11332 16998 22664 25497 33996 45328 50994 65159 67992 76491 101988 130318 135984 152982 195477 203976 260636 305964 390954 407952 521272 586431 611928 781908 1042544 1172862 1223856 1563816 1759293 2345724 3127632 3518586 4691448 7037172 9382896 14074344 28148688