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23528428000 = 255373111559
BaseRepresentation
bin10101111010011001…
…110101000111100000
32020201201212222112021
4111322121311013200
5341141234144000
614450411511224
71462025224000
oct257231650740
966651788467
1023528428000
119a84203220
124687758514
1322ac6b885c
1411d2b64000
1592a8e111a
hex57a6751e0

23528428000 has 384 divisors, whose sum is σ = 73592064000. Its totient is φ = 7328832000.

The previous prime is 23528427973. The next prime is 23528428003. The reversal of 23528428000 is 82482532.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23528428003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15091221 + ... + 15092779.

It is an arithmetic number, because the mean of its divisors is an integer number (191646000).

Almost surely, 223528428000 is an apocalyptic number.

23528428000 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 23528428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36796032000).

23528428000 is an abundant number, since it is smaller than the sum of its proper divisors (50063636000).

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

23528428000 is a wasteful number, since it uses less digits than its factorization.

23528428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 23528428000 in words is "twenty-three billion, five hundred twenty-eight million, four hundred twenty-eight thousand".