1628415360 has 512 divisors, whose sum is σ = 6785856000. Its totient is φ = 363847680.

The previous prime is 1628415319. The next prime is 1628415361. The reversal of 1628415360 is 635148261.

It is a happy number.

1628415360 is a `hidden beast` number, since 1 + 6 + 284 + 15 + 360 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628415361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2470711 + ... + 2471369.

It is an arithmetic number, because the mean of its divisors is an integer number (13253625).

Almost surely, 2^1628415360 is an apocalyptic number.

1628415360 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 1628415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392928000).

1628415360 is an abundant number, since it is smaller than the sum of its proper divisors (5157440640).

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

1628415360 is a wasteful number, since it uses less digits than its factorization.

1628415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1628415360 is about 40353.6288331050. The cubic root of 1628415360 is about 1176.4904243557.

The spelling of 1628415360 in words is "one billion, six hundred twenty-eight million, four hundred fifteen thousand, three hundred sixty".