1628629740 has 168 divisors, whose sum is σ = 5268172560. Its totient is φ = 422423424.

The previous prime is 1628629727. The next prime is 1628629771. The reversal of 1628629740 is 479268261.

It is a happy number.

1628629740 is a `hidden beast` number, since 16 + 2 + 8 + 629 + 7 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 537951 + ... + 540969.

It is an arithmetic number, because the mean of its divisors is an integer number (31358170).

Almost surely, 2^1628629740 is an apocalyptic number.

1628629740 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 1628629740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634086280).

1628629740 is an abundant number, since it is smaller than the sum of its proper divisors (3639542820).

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

1628629740 is a wasteful number, since it uses less digits than its factorization.

1628629740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1628629740 is about 40356.2850123745. The cubic root of 1628629740 is about 1176.5420501993.

The spelling of 1628629740 in words is "one billion, six hundred twenty-eight million, six hundred twenty-nine thousand, seven hundred forty".