2775628128 has 144 divisors (see below), whose sum is σ = 9127747440. Its totient is φ = 732017664.

The previous prime is 2775628117. The next prime is 2775628157. The reversal of 2775628128 is 8218265772.

It is a super-2 number, since 2×2775628128² = 15408223009889568768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38458 + ... + 83846.

It is an arithmetic number, because the mean of its divisors is an integer number (63387135).

Almost surely, 2^2775628128 is an apocalyptic number.

2775628128 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 2775628128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563873720).

2775628128 is an abundant number, since it is smaller than the sum of its proper divisors (6352119312).

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

2775628128 is a wasteful number, since it uses less digits than its factorization.

2775628128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45429 (or 45414 counting only the distinct ones).

The product of its digits is 752640, while the sum is 48.

The square root of 2775628128 is about 52684.2303540633. The cubic root of 2775628128 is about 1405.3583982878.

The spelling of 2775628128 in words is "two billion, seven hundred seventy-five million, six hundred twenty-eight thousand, one hundred twenty-eight".