1628937450 has 288 divisors, whose sum is σ = 5578035840. Its totient is φ = 331776000.

The previous prime is 1628937367. The next prime is 1628937461. The reversal of 1628937450 is 547398261.

1628937450 is a `hidden beast` number, since 162 + 8 + 9 + 37 + 450 = 666.

1628937450 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

1628937450 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1628937396 and 1628937405.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1016650 + ... + 1018250.

It is an arithmetic number, because the mean of its divisors is an integer number (19368180).

It is a 1-persistent number, because it is pandigital, but 2⋅1628937450 = 3257874900 is not.

Almost surely, 2^1628937450 is an apocalyptic number.

1628937450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1628937450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789017920).

1628937450 is an abundant number, since it is smaller than the sum of its proper divisors (3949098390).

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

1628937450 is a wasteful number, since it uses less digits than its factorization.

1628937450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1628937450 is about 40360.0972496351. The cubic root of 1628937450 is about 1176.6161433561.

The spelling of 1628937450 in words is "one billion, six hundred twenty-eight million, nine hundred thirty-seven thousand, four hundred fifty".