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28114968 = 2337374523
BaseRepresentation
bin110101101000…
…0000000011000
31221220101111010
41223100000120
524144134333
62442333520
7460654560
oct153200030
957811433
1028114968
1114963212
1294ba2a0
135a94c9b
143a3bda0
152705563
hex1ad0018

28114968 has 64 divisors (see below), whose sum is σ = 82517760. Its totient is φ = 7814016.

The previous prime is 28114943. The next prime is 28114969. The reversal of 28114968 is 86941182.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28114969) 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, 3955 + ... + 8477.

It is an arithmetic number, because the mean of its divisors is an integer number (1289340).

Almost surely, 228114968 is an apocalyptic number.

28114968 is a gapful number since it is divisible by the number (28) 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 28114968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41258880).

28114968 is an abundant number, since it is smaller than the sum of its proper divisors (54402792).

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

28114968 is a wasteful number, since it uses less digits than its factorization.

28114968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576 (or 4572 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 28114968 is about 5302.3549485111. The cubic root of 28114968 is about 304.0739374636.

The spelling of 28114968 in words is "twenty-eight million, one hundred fourteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 4523 6216 9046 13569 18092 27138 31661 36184 54276 63322 94983 108552 126644 167351 189966 253288 334702 379932 502053 669404 759864 1004106 1171457 1338808 2008212 2342914 3514371 4016424 4685828 7028742 9371656 14057484 28114968