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10428830280 = 23325112317723
BaseRepresentation
bin10011011011001101…
…10101001001001000
3222220210200110200100
421231212311021020
5132324240032110
64442502005400
7516302411001
oct115546651110
928823613610
1010428830280
114471891600
122030716860
13ca27b44bb
1470d0b01a8
15410868bc0
hex26d9b5248

10428830280 has 288 divisors, whose sum is σ = 38461812480. Its totient is φ = 2446329600.

The previous prime is 10428830239. The next prime is 10428830281. The reversal of 10428830280 is 8203882401.

It is a happy number.

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 (10428830281) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1346499 + ... + 1354221.

It is an arithmetic number, because the mean of its divisors is an integer number (133547960).

Almost surely, 210428830280 is an apocalyptic number.

10428830280 is a gapful number since it is divisible by the number (10) 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 10428830280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19230906240).

10428830280 is an abundant number, since it is smaller than the sum of its proper divisors (28032982200).

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

10428830280 is a wasteful number, since it uses less digits than its factorization.

10428830280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7793 (or 7775 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 10428830280 in words is "ten billion, four hundred twenty-eight million, eight hundred thirty thousand, two hundred eighty".