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28958194944 = 2832717105619
BaseRepresentation
bin11010111110000010…
…101111110100000000
32202202010221201111200
4122332002233310000
5433301244214234
621145254341200
72043416411220
oct327602576400
982663851450
1028958194944
1111310167518
12574205a800
1329665ab8c3
141589d38080
15b4743ad99
hex6be0afd00

28958194944 has 216 divisors, whose sum is σ = 101035247040. Its totient is φ = 7787003904.

The previous prime is 28958194943. The next prime is 28958195027. The reversal of 28958194944 is 44949185982.

28958194944 is a `hidden beast` number, since 2 + 8 + 9 + 581 + 9 + 4 + 9 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28958194943) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 221367 + ... + 326985.

Almost surely, 228958194944 is an apocalyptic number.

28958194944 is a gapful number since it is divisible by the number (24) 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 28958194944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50517623520).

28958194944 is an abundant number, since it is smaller than the sum of its proper divisors (72077052096).

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

28958194944 is a wasteful number, since it uses less digits than its factorization.

28958194944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105665 (or 105648 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 28958194944 in words is "twenty-eight billion, nine hundred fifty-eight million, one hundred ninety-four thousand, nine hundred forty-four".