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5428831128 = 233732353541

5428831128 has 256 divisors, whose sum is σ = 16858368000. Its totient is φ = 1452971520.

The previous prime is 5428831127. The next prime is 5428831159. The reversal of 5428831128 is 8211388245.

It is a super-4 number, since 4×54288311284 (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 5428831128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5428831127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10034538 + ... + 10035078.

It is an arithmetic number, because the mean of its divisors is an integer number (65853000).

Almost surely, 25428831128 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 5428831128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8429184000).

5428831128 is an abundant number, since it is smaller than the sum of its proper divisors (11429536872).

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

5428831128 is a wasteful number, since it uses less digits than its factorization.

5428831128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 629 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 5428831128 is about 73680.6021148036. The cubic root of 5428831128 is about 1757.5274258768.

The spelling of 5428831128 in words is "five billion, four hundred twenty-eight million, eight hundred thirty-one thousand, one hundred twenty-eight".