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78528828 = 22373153569
BaseRepresentation
bin1001010111001…
…00000100111100
312110202200022010
410223210010330
5130100410303
611443051220
71642325010
oct453440474
9173680263
1078528828
1140366964
1222370b10
1313366881
14a602540
156d62c03
hex4ae413c

78528828 has 96 divisors (see below), whose sum is σ = 220631040. Its totient is φ = 21265920.

The previous prime is 78528787. The next prime is 78528829. The reversal of 78528828 is 82882587.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78528829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137728 + ... + 138296.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 278528828 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 78528828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110315520).

78528828 is an abundant number, since it is smaller than the sum of its proper divisors (142102212).

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

78528828 is a wasteful number, since it uses less digits than its factorization.

78528828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 665 counting only the distinct ones).

The product of its digits is 573440, while the sum is 48.

The square root of 78528828 is about 8861.6492821596. The cubic root of 78528828 is about 428.2292930992.

It can be divided in two parts, 78 and 528828, that added together give a triangular number (528906 = T1028).

The spelling of 78528828 in words is "seventy-eight million, five hundred twenty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 53 62 84 93 106 124 159 186 212 217 318 371 372 434 569 636 651 742 868 1113 1138 1302 1484 1643 1707 2226 2276 2604 3286 3414 3983 4452 4929 6572 6828 7966 9858 11501 11949 15932 17639 19716 23002 23898 30157 34503 35278 46004 47796 52917 60314 69006 70556 90471 105834 120628 123473 138012 180942 211099 211668 246946 361884 370419 422198 493892 633297 740838 844396 934867 1266594 1481676 1869734 2533188 2804601 3739468 5609202 6544069 11218404 13088138 19632207 26176276 39264414 78528828