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28729824 = 253192829
BaseRepresentation
bin110110110011…
…0000111100000
32000001121220120
41231212013200
524323323244
62503440240
7466125264
oct155460740
960047816
1028729824
1115243162
129756080
135c4bac6
143b5c0a4
1527c7819
hex1b661e0

28729824 has 72 divisors (see below), whose sum is σ = 79689960. Its totient is φ = 9061632.

The previous prime is 28729819. The next prime is 28729853. The reversal of 28729824 is 42892782.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34242 + ... + 35070.

It is an arithmetic number, because the mean of its divisors is an integer number (1106805).

Almost surely, 228729824 is an apocalyptic number.

28729824 is a gapful number since it is divisible by the number (24) 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 28729824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39844980).

28729824 is an abundant number, since it is smaller than the sum of its proper divisors (50960136).

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

28729824 is a wasteful number, since it uses less digits than its factorization.

28729824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 853 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 28729824 is about 5360.0208954817. The cubic root of 28729824 is about 306.2746050480.

The spelling of 28729824 in words is "twenty-eight million, seven hundred twenty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 361 456 608 722 829 912 1083 1444 1658 1824 2166 2487 2888 3316 4332 4974 5776 6632 8664 9948 11552 13264 15751 17328 19896 26528 31502 34656 39792 47253 63004 79584 94506 126008 189012 252016 299269 378024 504032 598538 756048 897807 1197076 1512096 1795614 2394152 3591228 4788304 7182456 9576608 14364912 28729824