1628957257340 has 144 divisors (see below), whose sum is σ = 4264550482752. Its totient is φ = 519778473984.

The previous prime is 1628957257211. The next prime is 1628957257349. The reversal of 1628957257340 is 437527598261.

It is a self number, because there is not a number n which added to its sum of digits gives 1628957257340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628957257349) 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, 142637 + ... + 1810596.

It is an arithmetic number, because the mean of its divisors is an integer number (29614933908).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1628957257340 = 3257914514680, but 3⋅1628957257340 = 4886871772020 is not.

Almost surely, 2^{1628957257340} is an apocalyptic number.

1628957257340 is a gapful number since it is divisible by the number (10) 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 1628957257340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132275241376).

1628957257340 is an abundant number, since it is smaller than the sum of its proper divisors (2635593225412).

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

1628957257340 is a wasteful number, since it uses less digits than its factorization.

1628957257340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953316 (or 1953307 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 59.

The spelling of 1628957257340 in words is "one trillion, six hundred twenty-eight billion, nine hundred fifty-seven million, two hundred fifty-seven thousand, three hundred forty".