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5428911600 = 243552779101
BaseRepresentation
bin1010000111001011…
…01001110111110000
3112000100110021200000
411003211221313300
542104300132400
62254412230000
7251350662420
oct50345516760
915010407600
105428911600
11233652a702
12107616b300
13686983938
14397030480
1521b92b600
hex143969df0

5428911600 has 720 divisors, whose sum is σ = 22835205120. Its totient is φ = 1213056000.

The previous prime is 5428911599. The next prime is 5428911613. The reversal of 5428911600 is 61198245.

5428911600 is a `hidden beast` number, since 5 + 42 + 8 + 9 + 1 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×54289116002 = 58946162321229120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53751550 + ... + 53751650.

Almost surely, 25428911600 is an apocalyptic number.

5428911600 is a gapful number since it is divisible by the number (50) 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 5428911600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11417602560).

5428911600 is an abundant number, since it is smaller than the sum of its proper divisors (17406293520).

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

5428911600 is a wasteful number, since it uses less digits than its factorization.

5428911600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5428911600 is about 73681.1481995225. The cubic root of 5428911600 is about 1757.5361098240.

The spelling of 5428911600 in words is "five billion, four hundred twenty-eight million, nine hundred eleven thousand, six hundred".