2828338555400 has 144 divisors (see below), whose sum is σ = 6989762743740. Its totient is φ = 1064130150400.

The previous prime is 2828338555391. The next prime is 2828338555409. The reversal of 2828338555400 is 45558338282.

It is an interprime number because it is at equal distance from previous prime (2828338555391) and next prime (2828338555409).

It can be written as a sum of positive squares in 18 ways, for example, as 138141562276 + 2690196993124 = 371674^2 + 1640182^2 .

It is not an unprimeable number, because it can be changed into a prime (2828338555409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99459584 + ... + 99488016.

Almost surely, 2^{2828338555400} is an apocalyptic number.

2828338555400 is a gapful number since it is divisible by the number (20) 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 2828338555400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494881371870).

2828338555400 is an abundant number, since it is smaller than the sum of its proper divisors (4161424188340).

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

2828338555400 is a wasteful number, since it uses less digits than its factorization.

2828338555400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30204 (or 30178 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 53.

The spelling of 2828338555400 in words is "two trillion, eight hundred twenty-eight billion, three hundred thirty-eight million, five hundred fifty-five thousand, four hundred".