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28468608 = 273721789
BaseRepresentation
bin110110010011…
…0010110000000
31222120100120220
41230212112000
524241443413
62454103040
7463656600
oct154462600
958510526
1028468608
1115084983
12964aa80
135b89c3c
143ad0c00
152775223
hex1b26580

28468608 has 192 divisors, whose sum is σ = 94186800. Its totient is φ = 7569408.

The previous prime is 28468589. The next prime is 28468619. The reversal of 28468608 is 80686482.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 28468608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319828 + ... + 319916.

Almost surely, 228468608 is an apocalyptic number.

28468608 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 28468608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47093400).

28468608 is an abundant number, since it is smaller than the sum of its proper divisors (65718192).

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

28468608 is a wasteful number, since it uses less digits than its factorization.

28468608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 28468608 is about 5335.5981857707. The cubic root of 28468608 is about 305.3435455269.

The spelling of 28468608 in words is "twenty-eight million, four hundred sixty-eight thousand, six hundred eight".