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28375968 = 2531947331
BaseRepresentation
bin110110000111…
…1101110100000
31222101122111210
41230033232200
524231012333
62452110120
7463122525
oct154175640
958348453
1028375968
1115021315
129605340
135b56a1a
143aa914c
152757a63
hex1b0fba0

28375968 has 96 divisors (see below), whose sum is σ = 80317440. Its totient is φ = 8743680.

The previous prime is 28375967. The next prime is 28375969. The reversal of 28375968 is 86957382.

It is an interprime number because it is at equal distance from previous prime (28375967) and next prime (28375969).

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (28375961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 85563 + ... + 85893.

It is an arithmetic number, because the mean of its divisors is an integer number (836640).

Almost surely, 228375968 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 28375968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40158720).

28375968 is an abundant number, since it is smaller than the sum of its proper divisors (51941472).

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

28375968 is a wasteful number, since it uses less digits than its factorization.

28375968 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 725760, while the sum is 48.

The square root of 28375968 is about 5326.9097983728. The cubic root of 28375968 is about 305.0119783883.

The spelling of 28375968 in words is "twenty-eight million, three hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 47 48 57 76 94 96 114 141 152 188 228 282 304 331 376 456 564 608 662 752 893 912 993 1128 1324 1504 1786 1824 1986 2256 2648 2679 3572 3972 4512 5296 5358 6289 7144 7944 10592 10716 12578 14288 15557 15888 18867 21432 25156 28576 31114 31776 37734 42864 46671 50312 62228 75468 85728 93342 100624 124456 150936 186684 201248 248912 295583 301872 373368 497824 591166 603744 746736 886749 1182332 1493472 1773498 2364664 3546996 4729328 7093992 9458656 14187984 28375968