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28097088 = 263612399
BaseRepresentation
bin110101100101…
…1101001000000
31221212110221220
41223023221000
524143101323
62442115040
7460551465
oct153135100
957773856
1028097088
1114950838
1294aba80
135a89ac6
143a3566c
1527000e3
hex1acba40

28097088 has 56 divisors (see below), whose sum is σ = 75590400. Its totient is φ = 9208320.

The previous prime is 28097087. The next prime is 28097101. The reversal of 28097088 is 88079082.

It is a happy number.

It is a super-4 number, since 4×280970884 (a number of 31 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (28097087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10513 + ... + 12911.

Almost surely, 228097088 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 28097088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37795200).

28097088 is an abundant number, since it is smaller than the sum of its proper divisors (47493312).

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

28097088 is a wasteful number, since it uses less digits than its factorization.

28097088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 28097088 is about 5300.6686370683. The cubic root of 28097088 is about 304.0094641560.

The spelling of 28097088 in words is "twenty-eight million, ninety-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 732 976 1464 1952 2399 2928 3904 4798 5856 7197 9596 11712 14394 19192 28788 38384 57576 76768 115152 146339 153536 230304 292678 439017 460608 585356 878034 1170712 1756068 2341424 3512136 4682848 7024272 9365696 14048544 28097088