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988720128 = 21033113251
BaseRepresentation
bin111010111011101…
…010110000000000
32112220110012001000
4322323222300000
54011103021003
6242035412000
733333660654
oct7273526000
92486405030
10988720128
1146811a080
12237154000
13129ababc6
1495452a64
155bc041a3
hex3aeeac00

988720128 has 176 divisors, whose sum is σ = 3195285120. Its totient is φ = 299520000.

The previous prime is 988720099. The next prime is 988720211. The reversal of 988720128 is 821027889.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302503 + ... + 305753.

Almost surely, 2988720128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 988720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597642560).

988720128 is an abundant number, since it is smaller than the sum of its proper divisors (2206564992).

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

988720128 is a wasteful number, since it uses less digits than its factorization.

988720128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 988720128 is about 31443.9203662648. The cubic root of 988720128 is about 996.2258161231.

The spelling of 988720128 in words is "nine hundred eighty-eight million, seven hundred twenty thousand, one hundred twenty-eight".