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28743440 = 2451189367
BaseRepresentation
bin110110110100…
…1011100010000
32000002022120212
41231221130100
524324242230
62504023252
7466213055
oct155513420
960068525
1028743440
1115252410
129761b28
135c5506b
143b6302c
1527cb895
hex1b69710

28743440 has 80 divisors (see below), whose sum is σ = 73923840. Its totient is φ = 10306560.

The previous prime is 28743401. The next prime is 28743467. The reversal of 28743440 is 4434782.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 28743397 and 28743406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78137 + ... + 78503.

It is an arithmetic number, because the mean of its divisors is an integer number (924048).

Almost surely, 228743440 is an apocalyptic number.

28743440 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 28743440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36961920).

28743440 is an abundant number, since it is smaller than the sum of its proper divisors (45180400).

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

28743440 is a wasteful number, since it uses less digits than its factorization.

28743440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 28743440 is about 5361.2908893288. The cubic root of 28743440 is about 306.3229819123.

The spelling of 28743440 in words is "twenty-eight million, seven hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 89 110 176 178 220 356 367 440 445 712 734 880 890 979 1424 1468 1780 1835 1958 2936 3560 3670 3916 4037 4895 5872 7120 7340 7832 8074 9790 14680 15664 16148 19580 20185 29360 32296 32663 39160 40370 64592 65326 78320 80740 130652 161480 163315 261304 322960 326630 359293 522608 653260 718586 1306520 1437172 1796465 2613040 2874344 3592930 5748688 7185860 14371720 28743440