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28463040 = 263259883
BaseRepresentation
bin110110010010…
…0111111000000
31222120001221200
41230210333000
524241304130
62454021200
7463634424
oct154447700
958501850
1028463040
1115080781
129647800
135b87548
143accb84
152773760
hex1b24fc0

28463040 has 84 divisors (see below), whose sum is σ = 97910904. Its totient is φ = 7589376.

The previous prime is 28462999. The next prime is 28463041. The reversal of 28463040 is 4036482.

28463040 is a `hidden beast` number, since 28 + 4 + 630 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28462995 and 28463013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28463041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2062 + ... + 7821.

It is an arithmetic number, because the mean of its divisors is an integer number (1165606).

Almost surely, 228463040 is an apocalyptic number.

28463040 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 28463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48955452).

28463040 is an abundant number, since it is smaller than the sum of its proper divisors (69447864).

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

28463040 is a wasteful number, since it uses less digits than its factorization.

28463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9906 (or 9893 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 28463040 is about 5335.0763818337. The cubic root of 28463040 is about 305.3236374734.

It can be divided in two parts, 2846 and 3040, that added together give a triangular number (5886 = T108).

The spelling of 28463040 in words is "twenty-eight million, four hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 9883 19766 29649 39532 49415 59298 79064 88947 98830 118596 148245 158128 177894 197660 237192 296490 316256 355788 395320 444735 474384 592980 632512 711576 790640 889470 948768 1185960 1423152 1581280 1778940 1897536 2371920 2846304 3162560 3557880 4743840 5692608 7115760 9487680 14231520 28463040