6142280928 has 144 divisors (see below), whose sum is σ = 18788973840. Its totient is φ = 1751844864.

The previous prime is 6142280923. The next prime is 6142280933. The reversal of 6142280928 is 8290822416.

It is an interprime number because it is at equal distance from previous prime (6142280923) and next prime (6142280933).

It is a super-2 number, since 2×6142280928² = 75455229996945082368, which contains 22 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 6142280928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6142280923) 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, 4764508 + ... + 4765796.

It is an arithmetic number, because the mean of its divisors is an integer number (130478985).

Almost surely, 2^6142280928 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 6142280928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9394486920).

6142280928 is an abundant number, since it is smaller than the sum of its proper divisors (12646692912).

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

6142280928 is a wasteful number, since it uses less digits than its factorization.

6142280928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 6142280928 is about 78372.7052487025. The cubic root of 6142280928 is about 1831.3719521684.

The spelling of 6142280928 in words is "six billion, one hundred forty-two million, two hundred eighty thousand, nine hundred twenty-eight".