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28223968 = 251961761
BaseRepresentation
bin110101110101…
…0100111100000
31222002221000011
41223222213200
524211131333
62444534304
7461620423
oct153524740
958087004
1028223968
1114a280a3
129551394
135b02796
143a699ba
1527279cd
hex1aea9e0

28223968 has 48 divisors (see below), whose sum is σ = 59527440. Its totient is φ = 13132800.

The previous prime is 28223941. The next prime is 28224011. The reversal of 28223968 is 86932282.

It is a self number, because there is not a number n which added to its sum of digits gives 28223968.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 36708 + ... + 37468.

It is an arithmetic number, because the mean of its divisors is an integer number (1240155).

Almost surely, 228223968 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 28223968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29763720).

28223968 is an abundant number, since it is smaller than the sum of its proper divisors (31303472).

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

28223968 is a wasteful number, since it uses less digits than its factorization.

28223968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 843 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 28223968 is about 5312.6234573890. The cubic root of 28223968 is about 304.4663893741.

The spelling of 28223968 in words is "twenty-eight million, two hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 61 76 122 152 244 304 488 608 761 976 1159 1522 1952 2318 3044 4636 6088 9272 12176 14459 18544 24352 28918 37088 46421 57836 92842 115672 185684 231344 371368 462688 742736 881999 1485472 1763998 3527996 7055992 14111984 28223968