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28653444 = 223219163257
BaseRepresentation
bin110110101001…
…1011110000100
31222220202010200
41231103132010
524313402234
62502050500
7465356511
oct155233604
958822120
1028653444
11151a0836
129719a30
135c23101
143b3c308
1527aed99
hex1b53784

28653444 has 72 divisors (see below), whose sum is σ = 77007840. Its totient is φ = 8957952.

The previous prime is 28653439. The next prime is 28653473. The reversal of 28653444 is 44435682.

28653444 is a `hidden beast` number, since 2 + 86 + 534 + 44 = 666.

It is a super-2 number, since 2×286534442 = 1642039706122272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 28653399 and 28653408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111364 + ... + 111620.

Almost surely, 228653444 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 28653444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38503920).

28653444 is an abundant number, since it is smaller than the sum of its proper divisors (48354396).

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

28653444 is a wasteful number, since it uses less digits than its factorization.

28653444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 444 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 28653444 is about 5352.8911814084. The cubic root of 28653444 is about 306.0029475559.

The spelling of 28653444 in words is "twenty-eight million, six hundred fifty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 163 171 228 257 326 342 489 514 652 684 771 978 1028 1467 1542 1956 2313 2934 3084 3097 4626 4883 5868 6194 9252 9291 9766 12388 14649 18582 19532 27873 29298 37164 41891 43947 55746 58596 83782 87894 111492 125673 167564 175788 251346 377019 502692 754038 795929 1508076 1591858 2387787 3183716 4775574 7163361 9551148 14326722 28653444