1628901511272 has 288 divisors, whose sum is σ = 5326682849280. Its totient is φ = 440448503040.

The previous prime is 1628901511249. The next prime is 1628901511283. The reversal of 1628901511272 is 2721151098261.

1628901511272 is a `hidden beast` number, since 1 + 6 + 28 + 90 + 1 + 511 + 27 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198860697 + ... + 198868887.

It is an arithmetic number, because the mean of its divisors is an integer number (18495426560).

Almost surely, 2^{1628901511272} is an apocalyptic number.

1628901511272 is a gapful number since it is divisible by the number (12) 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 1628901511272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663341424640).

1628901511272 is an abundant number, since it is smaller than the sum of its proper divisors (3697781338008).

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

1628901511272 is a wasteful number, since it uses less digits than its factorization.

1628901511272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9341 (or 9315 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 1628901511272 in words is "one trillion, six hundred twenty-eight billion, nine hundred one million, five hundred eleven thousand, two hundred seventy-two".