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23628930400 = 2552234789307
BaseRepresentation
bin10110000000011001…
…001101110101100000
32020222202000000220101
4112000121031311200
5341343001233100
614504401552144
71464355410625
oct260031156540
966882000811
1023628930400
11a025a08159
1246b5345654
1322c7476c2a
14120224634c
1593464486a
hex58064dd60

23628930400 has 288 divisors, whose sum is σ = 62366008320. Its totient is φ = 8720363520.

The previous prime is 23628930397. The next prime is 23628930407. The reversal of 23628930400 is 403982632.

It is a self number, because there is not a number n which added to its sum of digits gives 23628930400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23628930407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76967047 + ... + 76967353.

It is an arithmetic number, because the mean of its divisors is an integer number (216548640).

Almost surely, 223628930400 is an apocalyptic number.

23628930400 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 23628930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31183004160).

23628930400 is an abundant number, since it is smaller than the sum of its proper divisors (38737077920).

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

23628930400 is a wasteful number, since it uses less digits than its factorization.

23628930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 23628930400 in words is "twenty-three billion, six hundred twenty-eight million, nine hundred thirty thousand, four hundred".