628273152 has 416 divisors, whose sum is σ = 2201740800. Its totient is φ = 175177728.

The previous prime is 628273103. The next prime is 628273157. The reversal of 628273152 is 251372826.

628273152 is a `hidden beast` number, since 628 + 27 + 3 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

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

Its product of digits (40320) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (628273157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27316213 + ... + 27316235.

Almost surely, 2^628273152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628273152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100870400).

628273152 is an abundant number, since it is smaller than the sum of its proper divisors (1573467648).

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

628273152 is a wasteful number, since it uses less digits than its factorization.

628273152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 628273152 is about 25065.3775555047. The cubic root of 628273152 is about 856.4779117175.

The spelling of 628273152 in words is "six hundred twenty-eight million, two hundred seventy-three thousand, one hundred fifty-two".