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88316028 = 223319193223
BaseRepresentation
bin1010100001110…
…01100001111100
320011011220211000
411100321201330
5140102103103
612432530300
72121450063
oct520714174
9204156730
1088316028
1145941159
12256b0990
13153b2608
14ba2d1da
157b47aa3
hex543987c

88316028 has 96 divisors (see below), whose sum is σ = 243353600. Its totient is φ = 27620352.

The previous prime is 88316027. The next prime is 88316069. The reversal of 88316028 is 82061388.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 88315983 and 88316001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88316027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395925 + ... + 396147.

Almost surely, 288316028 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 88316028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121676800).

88316028 is an abundant number, since it is smaller than the sum of its proper divisors (155037572).

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

88316028 is a wasteful number, since it uses less digits than its factorization.

88316028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 88316028 is about 9397.6607727668. The cubic root of 88316028 is about 445.3278365244.

The spelling of 88316028 in words is "eighty-eight million, three hundred sixteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 193 223 228 342 386 446 513 579 669 684 772 892 1026 1158 1338 1737 2007 2052 2316 2676 3474 3667 4014 4237 5211 6021 6948 7334 8028 8474 10422 11001 12042 12711 14668 16948 20844 22002 24084 25422 33003 38133 43039 44004 50844 66006 76266 86078 99009 114399 129117 132012 152532 172156 198018 228798 258234 387351 396036 457596 516468 774702 817741 1162053 1549404 1635482 2324106 2453223 3270964 4648212 4906446 7359669 9812892 14719338 22079007 29438676 44158014 88316028