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28219716 = 22327113991
BaseRepresentation
bin110101110100…
…1100101000100
31222002201011200
41223221211010
524211012331
62444502500
7461602140
oct153514504
958081150
1028219716
1114a24988
12954aa30
135b00875
143a68220
1527265e6
hex1ae9944

28219716 has 72 divisors (see below), whose sum is σ = 82328064. Its totient is φ = 7983360.

The previous prime is 28219699. The next prime is 28219717. The reversal of 28219716 is 61791282.

It is a super-2 number, since 2×282197162 = 1592704742241312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28219717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27981 + ... + 28971.

Almost surely, 228219716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28219716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41164032).

28219716 is an abundant number, since it is smaller than the sum of its proper divisors (54108348).

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

28219716 is a wasteful number, since it uses less digits than its factorization.

28219716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1116 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 28219716 is about 5312.2232633804. The cubic root of 28219716 is about 304.4510991061.

The spelling of 28219716 in words is "twenty-eight million, two hundred nineteen thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 226 252 339 452 678 791 991 1017 1356 1582 1982 2034 2373 2973 3164 3964 4068 4746 5946 6937 7119 8919 9492 11892 13874 14238 17838 20811 27748 28476 35676 41622 62433 83244 111983 124866 223966 249732 335949 447932 671898 783881 1007847 1343796 1567762 2015694 2351643 3135524 4031388 4703286 7054929 9406572 14109858 28219716