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28335488 = 273137193
BaseRepresentation
bin110110000010…
…1110110000000
31222022120222112
41230011312000
524223213423
62451154452
7462563516
oct154056600
958276875
1028335488
1114aa3965
1295a5a28
135b4147c
143a984b6
15274aa78
hex1b05d80

28335488 has 64 divisors (see below), whose sum is σ = 60155520. Its totient is φ = 13271040.

The previous prime is 28335487. The next prime is 28335491. The reversal of 28335488 is 88453382.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28335487) 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, 146720 + ... + 146912.

It is an arithmetic number, because the mean of its divisors is an integer number (939930).

Almost surely, 228335488 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 28335488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30077760).

28335488 is an abundant number, since it is smaller than the sum of its proper divisors (31820032).

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

28335488 is a wasteful number, since it uses less digits than its factorization.

28335488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its digits is 184320, while the sum is 41.

The square root of 28335488 is about 5323.1088660669. The cubic root of 28335488 is about 304.8668701435.

The spelling of 28335488 in words is "twenty-eight million, three hundred thirty-five thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 124 128 148 193 248 296 386 496 592 772 992 1147 1184 1544 1984 2294 2368 3088 3968 4588 4736 5983 6176 7141 9176 11966 12352 14282 18352 23932 24704 28564 36704 47864 57128 73408 95728 114256 146816 191456 221371 228512 382912 442742 457024 765824 885484 914048 1770968 3541936 7083872 14167744 28335488