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28429016 = 23721119347
BaseRepresentation
bin110110001110…
…0101011011000
31222111100021112
41230130223120
524234212031
62453155452
7463433300
oct154345330
958440245
1028429016
1115058160
12962bb88
135b74c05
143ac0600
15276862b
hex1b1cad8

28429016 has 96 divisors (see below), whose sum is σ = 71409600. Its totient is φ = 10463040.

The previous prime is 28429001. The next prime is 28429021. The reversal of 28429016 is 61092482.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81755 + ... + 82101.

It is an arithmetic number, because the mean of its divisors is an integer number (743850).

Almost surely, 228429016 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 28429016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35704800).

28429016 is an abundant number, since it is smaller than the sum of its proper divisors (42980584).

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

28429016 is a wasteful number, since it uses less digits than its factorization.

28429016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 28429016 is about 5331.8867204771. The cubic root of 28429016 is about 305.2019302406.

The spelling of 28429016 in words is "twenty-eight million, four hundred twenty-nine thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 49 56 76 77 88 98 133 152 154 196 209 266 308 347 392 418 532 539 616 694 836 931 1064 1078 1388 1463 1672 1862 2156 2429 2776 2926 3724 3817 4312 4858 5852 6593 7448 7634 9716 10241 11704 13186 15268 17003 19432 20482 26372 26719 30536 34006 40964 46151 52744 53438 68012 72523 81928 92302 106876 136024 145046 184604 187033 213752 290092 323057 369208 374066 507661 580184 646114 748132 1015322 1292228 1496264 2030644 2584456 3553627 4061288 7107254 14214508 28429016