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28404468 = 223219131317
BaseRepresentation
bin110110001011…
…0101011110100
31222110002121100
41230112223310
524232420333
62452450100
7463301601
oct154265364
958402540
1028404468
1115040774
129619930
135b669a1
143ab56a8
152761213
hex1b16af4

28404468 has 72 divisors (see below), whose sum is σ = 76396320. Its totient is φ = 8873280.

The previous prime is 28404457. The next prime is 28404469. The reversal of 28404468 is 86440482.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28404469) 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, 89446 + ... + 89762.

It is an arithmetic number, because the mean of its divisors is an integer number (1061060).

Almost surely, 228404468 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 28404468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38198160).

28404468 is an abundant number, since it is smaller than the sum of its proper divisors (47991852).

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

28404468 is a wasteful number, since it uses less digits than its factorization.

28404468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 28404468 is about 5329.5842239334. The cubic root of 28404468 is about 305.1140592844.

It can be divided in two parts, 28 and 404468, that added together give a square (404496 = 6362).

The spelling of 28404468 in words is "twenty-eight million, four hundred four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 131 171 228 262 317 342 393 524 634 684 786 951 1179 1268 1572 1902 2358 2489 2853 3804 4716 4978 5706 6023 7467 9956 11412 12046 14934 18069 22401 24092 29868 36138 41527 44802 54207 72276 83054 89604 108414 124581 166108 216828 249162 373743 498324 747486 789013 1494972 1578026 2367039 3156052 4734078 7101117 9468156 14202234 28404468