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28480384 = 271012203
BaseRepresentation
bin110110010100…
…1001110000000
31222120221202001
41230221032000
524242333014
62454233344
7464036122
oct154511600
958527661
1028480384
1115092809
129655854
135b923ca
143ad5212
152778974
hex1b29380

28480384 has 32 divisors (see below), whose sum is σ = 57326040. Its totient is φ = 14092800.

The previous prime is 28480381. The next prime is 28480391. The reversal of 28480384 is 48308482.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×284803842 = 1622264545574912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28480381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11827 + ... + 14029.

Almost surely, 228480384 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 28480384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28663020).

28480384 is an abundant number, since it is smaller than the sum of its proper divisors (28845656).

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

28480384 is a wasteful number, since it uses less digits than its factorization.

28480384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 28480384 is about 5336.7016030503. The cubic root of 28480384 is about 305.3856413671.

The spelling of 28480384 in words is "twenty-eight million, four hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 2203 3232 4406 6464 8812 12928 17624 35248 70496 140992 222503 281984 445006 890012 1780024 3560048 7120096 14240192 28480384