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28728320 = 210531181
BaseRepresentation
bin110110110010…
…1110000000000
32000001112211212
41231211300000
524323301240
62503425252
7466121015
oct155456000
960045755
1028728320
1115242015
129755228
135c4b20a
143b5b70c
1527c7165
hex1b65c00

28728320 has 88 divisors (see below), whose sum is σ = 71530368. Its totient is φ = 11059200.

The previous prime is 28728319. The next prime is 28728341. The reversal of 28728320 is 2382782.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 158630 + ... + 158810.

Almost surely, 228728320 is an apocalyptic number.

28728320 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 28728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35765184).

28728320 is an abundant number, since it is smaller than the sum of its proper divisors (42802048).

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

28728320 is a wasteful number, since it uses less digits than its factorization.

28728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 28728320 is about 5359.8805956849. The cubic root of 28728320 is about 306.2692604852.

The spelling of 28728320 in words is "twenty-eight million, seven hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 181 248 256 310 320 362 496 512 620 640 724 905 992 1024 1240 1280 1448 1810 1984 2480 2560 2896 3620 3968 4960 5120 5611 5792 7240 7936 9920 11222 11584 14480 15872 19840 22444 23168 28055 28960 31744 39680 44888 46336 56110 57920 79360 89776 92672 112220 115840 158720 179552 185344 224440 231680 359104 448880 463360 718208 897760 926720 1436416 1795520 2872832 3591040 5745664 7182080 14364160 28728320