Search a number
-
+
28455408 = 2433199331
BaseRepresentation
bin110110010001…
…1000111110000
31222112200111000
41230203013300
524241033113
62453522000
7463603242
oct154430760
958480430
1028455408
1115075a73
129643300
135b83c27
143aca092
152771373
hex1b231f0

28455408 has 80 divisors (see below), whose sum is σ = 82336000. Its totient is φ = 9408960.

The previous prime is 28455397. The next prime is 28455421. The reversal of 28455408 is 80455482.

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

It is a nialpdrome in base 12.

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, 85803 + ... + 86133.

It is an arithmetic number, because the mean of its divisors is an integer number (1029200).

Almost surely, 228455408 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 28455408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41168000).

28455408 is an abundant number, since it is smaller than the sum of its proper divisors (53880592).

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

28455408 is a wasteful number, since it uses less digits than its factorization.

28455408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 28455408 is about 5334.3610676444. The cubic root of 28455408 is about 305.2963454916.

The spelling of 28455408 in words is "twenty-eight million, four hundred fifty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 199 216 331 398 432 597 662 796 993 1194 1324 1592 1791 1986 2388 2648 2979 3184 3582 3972 4776 5296 5373 5958 7164 7944 8937 9552 10746 11916 14328 15888 17874 21492 23832 28656 35748 42984 47664 65869 71496 85968 131738 142992 197607 263476 395214 526952 592821 790428 1053904 1185642 1580856 1778463 2371284 3161712 3556926 4742568 7113852 9485136 14227704 28455408