Search a number
-
+
28378416 = 2431171757
BaseRepresentation
bin110110001000…
…0010100110000
31222101202212110
41230100110300
524231102131
62452125320
7463132623
oct154202460
958352773
1028378416
1115023140
129606840
135b57b81
143aa9dba
152758646
hex1b10530

28378416 has 80 divisors (see below), whose sum is σ = 81209088. Its totient is φ = 8467200.

The previous prime is 28378411. The next prime is 28378421. The reversal of 28378416 is 61487382.

It is an interprime number because it is at equal distance from previous prime (28378411) and next prime (28378421).

It is not an unprimeable number, because it can be changed into a prime (28378411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37110 + ... + 37866.

Almost surely, 228378416 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 28378416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40604544).

28378416 is an abundant number, since it is smaller than the sum of its proper divisors (52830672).

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

28378416 is a wasteful number, since it uses less digits than its factorization.

28378416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 844 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 28378416 is about 5327.1395701633. The cubic root of 28378416 is about 305.0207492826.

The spelling of 28378416 in words is "twenty-eight million, three hundred seventy-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 132 142 176 213 264 284 426 528 568 757 781 852 1136 1514 1562 1704 2271 2343 3028 3124 3408 4542 4686 6056 6248 8327 9084 9372 12112 12496 16654 18168 18744 24981 33308 36336 37488 49962 53747 66616 99924 107494 133232 161241 199848 214988 322482 399696 429976 591217 644964 859952 1182434 1289928 1773651 2364868 2579856 3547302 4729736 7094604 9459472 14189208 28378416