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28603680 = 253578513
BaseRepresentation
bin110110100011…
…1010100100000
31222211012212120
41231013110200
524310304210
62501024240
7465061440
oct155072440
958735776
1028603680
1115167406
1296b5080
135c06571
143b28120
1527a0270
hex1b47520

28603680 has 96 divisors (see below), whose sum is σ = 102985344. Its totient is φ = 6537216.

The previous prime is 28603637. The next prime is 28603711. The reversal of 28603680 is 8630682.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 897 + ... + 7616.

It is an arithmetic number, because the mean of its divisors is an integer number (1072764).

Almost surely, 228603680 is an apocalyptic number.

28603680 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 28603680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51492672).

28603680 is an abundant number, since it is smaller than the sum of its proper divisors (74381664).

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

28603680 is a wasteful number, since it uses less digits than its factorization.

28603680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8538 (or 8530 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 28603680 is about 5348.2408322737. The cubic root of 28603680 is about 305.8256942279.

The spelling of 28603680 in words is "twenty-eight million, six hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 8513 17026 25539 34052 42565 51078 59591 68104 85130 102156 119182 127695 136208 170260 178773 204312 238364 255390 272416 297955 340520 357546 408624 476728 510780 595910 681040 715092 817248 893865 953456 1021560 1191820 1362080 1430184 1787730 1906912 2043120 2383640 2860368 3575460 4086240 4767280 5720736 7150920 9534560 14301840 28603680