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28692480 = 21235467
BaseRepresentation
bin110110101110…
…1000000000000
31222222201200110
41231131000000
524321124410
62502551320
7465611355
oct155350000
958881613
1028692480
11152180a3
129738540
135c37acb
143b4c62c
1527bb720
hex1b5d000

28692480 has 104 divisors (see below), whose sum is σ = 92001312. Its totient is φ = 7634944.

The previous prime is 28692473. The next prime is 28692493. The reversal of 28692480 is 8429682.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61207 + ... + 61673.

It is an arithmetic number, because the mean of its divisors is an integer number (884628).

Almost surely, 228692480 is an apocalyptic number.

28692480 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 28692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46000656).

28692480 is an abundant number, since it is smaller than the sum of its proper divisors (63308832).

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

28692480 is an equidigital number, since it uses as much as digits as its factorization.

28692480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 28692480 is about 5356.5361942210. The cubic root of 28692480 is about 306.1418454685.

The spelling of 28692480 in words is "twenty-eight million, six hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 467 480 512 640 768 934 960 1024 1280 1401 1536 1868 1920 2048 2335 2560 2802 3072 3736 3840 4096 4670 5120 5604 6144 7005 7472 7680 9340 10240 11208 12288 14010 14944 15360 18680 20480 22416 28020 29888 30720 37360 44832 56040 59776 61440 74720 89664 112080 119552 149440 179328 224160 239104 298880 358656 448320 478208 597760 717312 896640 956416 1195520 1434624 1793280 1912832 2391040 2869248 3586560 4782080 5738496 7173120 9564160 14346240 28692480