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28370144 = 2511217431
BaseRepresentation
bin110110000111…
…0010011100000
31222101100112002
41230032103200
524230321034
62452023132
7463066535
oct154162340
958340462
1028370144
1115017a00
129601aa8
135b5418a
143aa6d8c
152755e7e
hex1b0e4e0

28370144 has 72 divisors (see below), whose sum is σ = 65155104. Its totient is φ = 12108800.

The previous prime is 28370143. The next prime is 28370179. The reversal of 28370144 is 44107382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28370143) by changing a digit.

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, 65609 + ... + 66039.

It is an arithmetic number, because the mean of its divisors is an integer number (904932).

Almost surely, 228370144 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 28370144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32577552).

28370144 is an abundant number, since it is smaller than the sum of its proper divisors (36784960).

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

28370144 is a wasteful number, since it uses less digits than its factorization.

28370144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 28370144 is about 5326.3631119179. The cubic root of 28370144 is about 304.9911096575.

The spelling of 28370144 in words is "twenty-eight million, three hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 121 136 176 187 242 272 352 374 431 484 544 748 862 968 1496 1724 1936 2057 2992 3448 3872 4114 4741 5984 6896 7327 8228 9482 13792 14654 16456 18964 29308 32912 37928 52151 58616 65824 75856 80597 104302 117232 151712 161194 208604 234464 322388 417208 644776 834416 886567 1289552 1668832 1773134 2579104 3546268 7092536 14185072 28370144