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983420928 = 21232737103
BaseRepresentation
bin111010100111011…
…101000000000000
32112112110221220100
4322213131000000
54003223432203
6241330042400
733240640260
oct7247350000
92475427810
10983420928
1146512a776
12235419400
13128983b99
14948737a0
155b508ea3
hex3a9dd000

983420928 has 312 divisors, whose sum is σ = 3366566528. Its totient is φ = 270729216.

The previous prime is 983420927. The next prime is 983420939. The reversal of 983420928 is 829024389.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983420927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9547725 + ... + 9547827.

Almost surely, 2983420928 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 983420928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683283264).

983420928 is an abundant number, since it is smaller than the sum of its proper divisors (2383145600).

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

983420928 is a wasteful number, since it uses less digits than its factorization.

983420928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 983420928 is about 31359.5428538109. The cubic root of 983420928 is about 994.4428175965.

The spelling of 983420928 in words is "nine hundred eighty-three million, four hundred twenty thousand, nine hundred twenty-eight".