152928048 has 160 divisors (see below), whose sum is σ = 491524096. Its totient is φ = 39896064.

The previous prime is 152928047. The next prime is 152928071. The reversal of 152928048 is 840829251.

It is a super-3 number, since 3×152928048³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 152927997 and 152928015.

It is not an unprimeable number, because it can be changed into a prime (152928043) 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, 685665 + ... + 685887.

Almost surely, 2^152928048 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 152928048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245762048).

152928048 is an abundant number, since it is smaller than the sum of its proper divisors (338596048).

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

152928048 is a wasteful number, since it uses less digits than its factorization.

152928048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 152928048 is about 12366.4080476103. The cubic root of 152928048 is about 534.7642691645.

The spelling of 152928048 in words is "one hundred fifty-two million, nine hundred twenty-eight thousand, forty-eight".