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28914048 = 2732191321
BaseRepresentation
bin110111001001…
…1000110000000
32000101222121200
41232103012000
524400222143
62511421200
7500523342
oct156230600
960358550
1028914048
1115359609
129824800
135cb4907
143ba9292
1528121d3
hex1b93180

28914048 has 96 divisors (see below), whose sum is σ = 87648600. Its totient is φ = 9123840.

The previous prime is 28914043. The next prime is 28914113. The reversal of 28914048 is 84041982.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28914043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21228 + ... + 22548.

Almost surely, 228914048 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 28914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43824300).

28914048 is an abundant number, since it is smaller than the sum of its proper divisors (58734552).

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

28914048 is a wasteful number, since it uses less digits than its factorization.

28914048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1345 counting only the distinct ones).

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

The square root of 28914048 is about 5377.1784422688. The cubic root of 28914048 is about 306.9278514226.

The spelling of 28914048 in words is "twenty-eight million, nine hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1321 1368 1824 2432 2642 2736 3648 3963 5284 5472 7296 7926 10568 10944 11889 15852 21136 21888 23778 25099 31704 42272 47556 50198 63408 75297 84544 95112 100396 126816 150594 169088 190224 200792 225891 253632 301188 380448 401584 451782 507264 602376 760896 803168 903564 1204752 1521792 1606336 1807128 2409504 3212672 3614256 4819008 7228512 9638016 14457024 28914048