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28333344 = 2531373311
BaseRepresentation
bin110110000010…
…1010100100000
31222022111001010
41230011110200
524223131334
62451140520
7462554334
oct154052440
958274033
1028333344
1114aa2296
1295a4740
135b404c0
143a977c4
15274a0e9
hex1b05520

28333344 has 96 divisors (see below), whose sum is σ = 81454464. Its totient is φ = 8570880.

The previous prime is 28333307. The next prime is 28333367. The reversal of 28333344 is 44333382.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 90949 + ... + 91259.

It is an arithmetic number, because the mean of its divisors is an integer number (848484).

Almost surely, 228333344 is an apocalyptic number.

28333344 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 28333344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40727232).

28333344 is an abundant number, since it is smaller than the sum of its proper divisors (53121120).

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

28333344 is a wasteful number, since it uses less digits than its factorization.

28333344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 28333344 is about 5322.9074761825. The cubic root of 28333344 is about 304.8591807159.

The spelling of 28333344 in words is "twenty-eight million, three hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 73 78 96 104 146 156 208 219 292 311 312 416 438 584 622 624 876 933 949 1168 1244 1248 1752 1866 1898 2336 2488 2847 3504 3732 3796 4043 4976 5694 7008 7464 7592 8086 9952 11388 12129 14928 15184 16172 22703 22776 24258 29856 30368 32344 45406 45552 48516 64688 68109 90812 91104 97032 129376 136218 181624 194064 272436 295139 363248 388128 544872 590278 726496 885417 1089744 1180556 1770834 2179488 2361112 3541668 4722224 7083336 9444448 14166672 28333344