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990828288 = 283471673
BaseRepresentation
bin111011000011101…
…101011100000000
32120001102021220000
4323003231130000
54012123001123
6242152520000
733360621132
oct7303553400
92501367800
10990828288
11469329a5a
122379b0000
1312a378638
1495841052
155bebdb43
hex3b0ed700

990828288 has 180 divisors, whose sum is σ = 3000534768. Its totient is φ = 325140480.

The previous prime is 990828259. The next prime is 990828301. The reversal of 990828288 is 882828099.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1471920 + ... + 1472592.

Almost surely, 2990828288 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 990828288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500267384).

990828288 is an abundant number, since it is smaller than the sum of its proper divisors (2009706480).

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

990828288 is an equidigital number, since it uses as much as digits as its factorization.

990828288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 990828288 is about 31477.4250535205. The cubic root of 990828288 is about 996.9333680482.

The spelling of 990828288 in words is "nine hundred ninety million, eight hundred twenty-eight thousand, two hundred eighty-eight".