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28477440 = 211335103
BaseRepresentation
bin110110010100…
…0100000000000
31222120210201000
41230220200000
524242234230
62454212000
7464024415
oct154504000
958523630
1028477440
1115090582
129654000
135b90c74
143ad410c
152777b60
hex1b28800

28477440 has 192 divisors, whose sum is σ = 102211200. Its totient is φ = 7520256.

The previous prime is 28477439. The next prime is 28477459. The reversal of 28477440 is 4477482.

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 (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 28477395 and 28477404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276429 + ... + 276531.

It is an arithmetic number, because the mean of its divisors is an integer number (532350).

Almost surely, 228477440 is an apocalyptic number.

28477440 is a gapful number since it is divisible by the number (20) 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 28477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51105600).

28477440 is an abundant number, since it is smaller than the sum of its proper divisors (73733760).

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

28477440 is a wasteful number, since it uses less digits than its factorization.

28477440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 28477440 is about 5336.4257701199. The cubic root of 28477440 is about 305.3751184951.

The spelling of 28477440 in words is "twenty-eight million, four hundred seventy-seven thousand, four hundred forty".