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28533024 = 2532137621
BaseRepresentation
bin110110011011…
…0000100100000
31222200121221200
41230312010200
524301024044
62455321200
7464345442
oct154660440
958617850
1028533024
1115119313
129680200
135bb0360
143b0a492
152789369
hex1b36120

28533024 has 72 divisors (see below), whose sum is σ = 87393852. Its totient is φ = 8778240.

The previous prime is 28533017. The next prime is 28533047. The reversal of 28533024 is 42033582.

It can be written as a sum of positive squares in 2 ways, for example, as 28515600 + 17424 = 5340^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67 + ... + 7554.

Almost surely, 228533024 is an apocalyptic number.

28533024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28533024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43696926).

28533024 is an abundant number, since it is smaller than the sum of its proper divisors (58860828).

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

28533024 is a wasteful number, since it uses less digits than its factorization.

28533024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7650 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 28533024 is about 5341.6312115308. The cubic root of 28533024 is about 305.5736726130.

The spelling of 28533024 in words is "twenty-eight million, five hundred thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 7621 15242 22863 30484 45726 60968 68589 91452 99073 121936 137178 182904 198146 243872 274356 297219 365808 396292 548712 594438 731616 792584 891657 1097424 1188876 1585168 1783314 2194848 2377752 3170336 3566628 4755504 7133256 9511008 14266512 28533024