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5428506720 = 25357131931211
BaseRepresentation
bin1010000111001000…
…00111000001100000
3112000022200201021110
411003210013001200
542104144203340
62254355423320
7251344355130
oct50344070140
915008621243
105428506720
11233628349a
121075bb4b40
13686871570
14396d66ac0
1521b89b680
hex143907060

5428506720 has 768 divisors, whose sum is σ = 22976593920. Its totient is φ = 1045094400.

The previous prime is 5428506683. The next prime is 5428506731. The reversal of 5428506720 is 276058245.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25727415 + ... + 25727625.

It is an arithmetic number, because the mean of its divisors is an integer number (29917440).

Almost surely, 25428506720 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 5428506720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11488296960).

5428506720 is an abundant number, since it is smaller than the sum of its proper divisors (17548087200).

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

5428506720 is a wasteful number, since it uses less digits than its factorization.

5428506720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 5428506720 is about 73678.4006341071. The cubic root of 5428506720 is about 1757.4924172779.

The spelling of 5428506720 in words is "five billion, four hundred twenty-eight million, five hundred six thousand, seven hundred twenty".