2892472128 has 336 divisors, whose sum is σ = 10303296640. Its totient is φ = 755453952.

The previous prime is 2892472127. The next prime is 2892472139. The reversal of 2892472128 is 8212742982.

It is a happy number.

2892472128 is a `hidden beast` number, since 289 + 247 + 2 + 128 = 666.

2892472128 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2892472128² = 16732790022513696768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2892472127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7285626 + ... + 7286022.

Almost surely, 2^2892472128 is an apocalyptic number.

2892472128 is a gapful number since it is divisible by the number (28) 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 2892472128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151648320).

2892472128 is an abundant number, since it is smaller than the sum of its proper divisors (7410824512).

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

2892472128 is a wasteful number, since it uses less digits than its factorization.

2892472128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 561 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2892472128 is about 53781.7081171656. The cubic root of 2892472128 is about 1424.8081618022.

The spelling of 2892472128 in words is "two billion, eight hundred ninety-two million, four hundred seventy-two thousand, one hundred twenty-eight".