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28842369840 = 2435523251257
BaseRepresentation
bin11010110111001000…
…111010001100110000
32202110002000012100000
4122313020322030300
5433032121313330
621130000030000
72040512045544
oct326710721460
982402005300
1028842369840
1111260847399
12570b302300
1329485b703b
1415787c7a24
15b3c1ac560
hex6b723a330

28842369840 has 480 divisors, whose sum is σ = 105644238336. Its totient is φ = 7299072000.

The previous prime is 28842369827. The next prime is 28842369877. The reversal of 28842369840 is 4896324882.

28842369840 is a `hidden beast` number, since 2 + 88 + 423 + 69 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112226992 + ... + 112227248.

Almost surely, 228842369840 is an apocalyptic number.

28842369840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28842369840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52822119168).

28842369840 is an abundant number, since it is smaller than the sum of its proper divisors (76801868496).

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

28842369840 is a wasteful number, since it uses less digits than its factorization.

28842369840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 28842369840 in words is "twenty-eight billion, eight hundred forty-two million, three hundred sixty-nine thousand, eight hundred forty".