2528908748352 has 224 divisors, whose sum is σ = 8507291331840. Its totient is φ = 721636024320.

The previous prime is 2528908748291. The next prime is 2528908748447. The reversal of 2528908748352 is 2538478098252.

It is a happy number.

2528908748352 is a `hidden beast` number, since 2 + 5 + 28 + 9 + 0 + 87 + 483 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2528908748352.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9509352 + ... + 9771672.

It is an arithmetic number, because the mean of its divisors is an integer number (37978979160).

Almost surely, 2^{2528908748352} 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 2528908748352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253645665920).

2528908748352 is an abundant number, since it is smaller than the sum of its proper divisors (5978382583488).

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

2528908748352 is a wasteful number, since it uses less digits than its factorization.

2528908748352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263146 (or 263130 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 2528908748352 in words is "two trillion, five hundred twenty-eight billion, nine hundred eight million, seven hundred forty-eight thousand, three hundred fifty-two".