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28084464 = 24321011931
BaseRepresentation
bin110101100100…
…0100011110000
31221211211122100
41223020203300
524142200324
62441540400
7460466622
oct153104360
957754570
1028084464
1114942301
1294a4700
135a84135
143a30c12
1526eb4c9
hex1ac88f0

28084464 has 60 divisors (see below), whose sum is σ = 79416792. Its totient is φ = 9264000.

The previous prime is 28084447. The next prime is 28084471. The reversal of 28084464 is 46448082.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13579 + ... + 15509.

Almost surely, 228084464 is an apocalyptic number.

28084464 is a gapful number since it is divisible by the number (24) 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 28084464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39708396).

28084464 is an abundant number, since it is smaller than the sum of its proper divisors (51332328).

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

28084464 is a wasteful number, since it uses less digits than its factorization.

28084464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 28084464 is about 5299.4777101145. The cubic root of 28084464 is about 303.9639269293.

The spelling of 28084464 in words is "twenty-eight million, eighty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 1931 2424 3636 3862 4848 5793 7272 7724 11586 14544 15448 17379 23172 30896 34758 46344 69516 92688 139032 195031 278064 390062 585093 780124 1170186 1560248 1755279 2340372 3120496 3510558 4680744 7021116 9361488 14042232 28084464