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28653456 = 2431347977
BaseRepresentation
bin110110101001…
…1011110010000
31222220202011010
41231103132100
524313402311
62502050520
7465356526
oct155233620
958822133
1028653456
11151a0847
129719a40
135c23110
143b3c316
1527aeda6
hex1b53790

28653456 has 80 divisors (see below), whose sum is σ = 81494784. Its totient is φ = 8620032.

The previous prime is 28653439. The next prime is 28653473. The reversal of 28653456 is 65435682.

It is an interprime number because it is at equal distance from previous prime (28653439) and next prime (28653473).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 28840 + ... + 29816.

Almost surely, 228653456 is an apocalyptic number.

28653456 is a gapful number since it is divisible by the number (26) 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 28653456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40747392).

28653456 is an abundant number, since it is smaller than the sum of its proper divisors (52841328).

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

28653456 is a wasteful number, since it uses less digits than its factorization.

28653456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1042 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 28653456 is about 5352.8923022979. The cubic root of 28653456 is about 306.0029902737.

The spelling of 28653456 in words is "twenty-eight million, six hundred fifty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 78 94 104 141 156 188 208 282 312 376 564 611 624 752 977 1128 1222 1833 1954 2256 2444 2931 3666 3908 4888 5862 7332 7816 9776 11724 12701 14664 15632 23448 25402 29328 38103 45919 46896 50804 76206 91838 101608 137757 152412 183676 203216 275514 304824 367352 551028 596947 609648 734704 1102056 1193894 1790841 2204112 2387788 3581682 4775576 7163364 9551152 14326728 28653456